Question

#4 Find angles 1, 2, 3 N 50°13 A) 90, 40, 50 B) 90, 50, 40 C) 90, 50, 90 D) 90, 40, 90

Answer 1

Take into account similar triangles.

Consider that angle 1 is a right angle. Then:

m∠1 = 90°

the angle below the angle of 50° is congruent to it, then, the angle is 50°.

To determine the measure of angle 2, consider that the sum of the interior angles of a triangle is equal to 180°:

50 + 90 + m∠2 = 180°

m∠2 = 180° - 50° - 90°

m∠2 = 40°

Angle 3 is also a right angle, then:

m∠3 = 90°

Hence, the measure of the required angles are:

D) 90, 40, 90