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rjkz [21]
3 years ago
15

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

Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

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°.

sergeinik [125]3 years ago
4 0

Answer:

180°

Step-by-step explanation:

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