Question

Find all of the missing angles - a, b, c, and d.

Answer 1

a. 65 degree

B. 25 degree

c. 25 degree

d. 75 degree

Explanation:

shown in photo.

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Answer 2

a = 65°

b = 25°

c = 25°

d = 75°

Explanation:

60 + a + 55 = 180 (Angles of a straight line)

a + 115 = 180

a = 180 - 115

a = 65°

a + b + 90 = 180 (Interior angles of a triangle add up to 180°)

65 + b + 90 = 180

b + 155 = 180

b = 180 - 155

b = 25°

b = c (Vertically opposite angles are equal)

c = 25°

d + 15 = 90 (Complementary angles)

d = 90 - 15

d = 75°

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Hope this helped!

~AH1807

Peace!