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

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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by definition, an arc subtended by a central angle of some given measure has the same measure. so .