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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

From the given angle measurements you cant directly find the measure of angle L However you can find the measurement of angle C which is supplementary to angle class=

Respuesta :

The measurement of angle L = 50°.

Solution:

The given image is a rectangle.

The measurement of ∠A = 25°

The measurement of ∠B = 25°

ABC is a triangle.

Sum of the interior angles of the triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 25° + 25° + m∠C = 180°

⇒ 50° + m∠C = 180°

⇒ m∠C = 180° – 50°

⇒ m∠C = 130°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠C + m∠L = 180°

⇒ 130°  + m∠L = 180°

⇒ m∠L = 180° – 130°

⇒ m∠L = 50°

Hence the measurement of angle L = 50°.

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Answer
Step-by-step explanation:
Angles A, B and C form a triangle. The sum of the angel measurements of a triangle is 180°. So, I can find the measurement of angle C by subtracting the measurements of angel A and angle B from 180° (edmentum sample answer)
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