Question

Activity

The image shows a rectangle and its two diagonals. The measurement of angle A is 25º. The measurement of angle B is also 25°. What is the measurement of angle L? Complete the steps below to solve the problem.

Part A

From the given angle measurements, you can't directly find the measure of angle L. However, you can find the measurement of angle C, which is supplementary to angle L. Describe how to find the measurement of angle C using the measurements of angle A and angle B.



Part B
write a numerical expression for the measurement of angle C.

Part C. what is the measurement of Angle C.

part D. Describe how to find the measurement of angle L using angle C.

Part E. Write an expression for measurement of angle L using the measurement of angle C found in part C.

Part F. What is the measurement of angle L.

(no way anyone is gonna do all this if you can that would be amazing)

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Answer 1

part A : Angles A, B, and C form a triangle. The sum of the angle measurements of a triangle is 180°. So, I can find the measurement of angle C by subtracting the measurements of angle A and angle B from 180°.

part B: Angle A and angle B each measure 25°. Find the measurement of angle C by subtracting the measurements of angle A and angle B from 180°. The numerical expression for the measurement of angle C is 180° – 25° – 25°.

part C: The measurement of angle C is given by the expression 180° – 25° – 25°. So, angle C measures 130°.

part D:Angle L and angle C are supplementary angles. The sum of supplementary angles is 180°. So, I can find the measurement of angle L by subtracting the measurement of angle C from 180°.

part E: Angle C measures 130°. Find the measure of angle L by subtracting the measurement of angle C from 180°. The numerical expression for the measure of angle L is 180° – 130°.

part F: The measurement of angle L is given by the expression 180° – 130°. So, angle L measures 50°.

Explanation:

Answer 2

part A : Angles A, B, and C form a triangle. The sum of the angle measurements of a triangle is 180°. So, I can find the measurement of angle C by subtracting the measurements of angle A and angle B from 180°.

part B: Angle A and angle B each measure 25°. Find the measurement of angle C by subtracting the measurements of angle A and angle B from 180°. The numerical expression for the measurement of angle C is 180° – 25° – 25°.

part C: The measurement of angle C is given by the expression 180° – 25° – 25°. So, angle C measures 130°.

part D:Angle L and angle C are supplementary angles. The sum of supplementary angles is 180°. So, I can find the measurement of angle L by subtracting the measurement of angle C from 180°.

part E: Angle C measures 130°. Find the measure of angle L by subtracting the measurement of angle C from 180°. The numerical expression for the measure of angle L is 180° – 130°.

part F: The measurement of angle L is given by the expression 180° – 130°. So, angle L measures 50°.

Explanation:

these are all 100% correct and they are the exact anwsers on the edmentum.