Find the Missing Angle Worksheet Geometry

Geometry can often be a challenging subject, especially when it comes to finding missing angles. Thankfully, worksheets are a fantastic tool that provide a structured and practical way for students to practice this skill. Whether you are a student looking to strengthen your understanding of geometry or a teacher searching for resources to assist your students, finding the missing angle worksheet can be a game-changer.

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What is the measure of the missing angle in a straight line (180 degrees)?

The measure of the missing angle in a straight line (180 degrees) is 180 degrees itself. In a straight line, also known as a straight angle, the sum of the angles is always 180 degrees. So, if one angle is given, the missing angle will be 180 degrees minus the given angle to make up the straight line.

What is the measure of the missing angle in a right triangle (90 degrees)?

The measure of the missing angle in a right triangle is 90 degrees because the sum of the interior angles in a triangle is always 180 degrees, and in a right triangle, one angle is always 90 degrees, making the other two angles complementary.

What is the measure of the missing angle in an equilateral triangle (60 degrees)?

In an equilateral triangle, all angles are equal and measure 60 degrees each. So, the measure of the missing angle in an equilateral triangle would also be 60 degrees.

What is the measure of the missing angle in an isosceles triangle (two equal angles)?

In an isosceles triangle, the two equal angles are always opposite the two equal sides. Therefore, the measure of the missing angle in an isosceles triangle can be calculated by subtracting the sum of the two known angles from 180 degrees, as the total sum of the angles in any triangle is always 180 degrees.

What is the measure of the missing angle in a parallelogram?

The measure of the missing angle in a parallelogram is equal to the measure of the angle it is opposite to. This is because in a parallelogram, opposite angles are equal in value.

What is the measure of the missing angle in a rectangle or square?

In a rectangle or square, the measure of the missing angle would be 90 degrees, as all angles in a rectangle or square are right angles measuring 90 degrees.

What is the measure of the missing angle in a regular pentagon?

The measure of the missing angle in a regular pentagon is 108 degrees. In any regular polygon, the sum of the interior angles can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For a pentagon (5 sides), the sum of the interior angles is 540 degrees. Since all interior angles in a regular polygon are congruent, each angle in a regular pentagon measures 108 degrees.

What is the measure of the missing angle in a regular hexagon?

In a regular hexagon, each interior angle measures 120 degrees.

What is the measure of the missing angle in a trapezoid (quadrilateral with one pair of parallel sides)?

In a trapezoid, the measure of the missing angle can vary since there are no specific angles determined. The sum of the angles in a quadrilateral is always 360 degrees, so to find the missing angle, you would need to know the measurements of the other three angles in the trapezoid.

What is the measure of the missing angle in a 1-degree, 1-minute, 30-second angle?

The missing angle in a 1-degree, 1-minute, 30-second angle can be calculated by converting the minutes and seconds into decimal form. One minute is equal to 1/60 degrees, and one second is equal to 1/3600 degrees. Therefore, the angle can be represented as 1 + 1/60 + 30/3600 degrees. Simplifying this expression gives 1.025 degrees, which is the measure of the missing angle in the given angle.