From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angl
e 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
2 answers:
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°.
Answer:
180°
Step-by-step explanation:
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