Question

Kevin is planting a triangular garden where 2 sides of the garden come together at an angle of 35°. If 1 unknown angle in the triangle is 4 times as large as the second unknown angle in the triangle, what are the measures of the unknown angles in Kevin's triangular garden?

a. The second angle is 105, and the third angle is 29°

b. The second angle is 140°, and the third angle is 35º

c. The second angle is 120°, and the third angle is 30°.

d. The second angle is 116, and the third angle is 29°

Answer 1

d. The second angle is 116, and the third angle is 29°

Explanation:

second unknown angle be x

the other unknown angle = 4*x = 4x

x+ 4x + 35 = 180 {sum of all angles of triangle}

5x = 180-35 = 145

x = 145/5

x = 29

the other unknown angle = 4x = 4*29 = 116