Question

find the unknown angle from the figure on right​

Answer 1

Answer:

a = 13°

p = q = r = 60°

Step by Step Explanation:

in ∆BOC,

OC = OB = BC

so angle p = q = r

p + q + r = 180°

3p = 180

p = 180/3 = 60°

in ∆ABC,

AC = AB

Angle ACB = ABC

a + q = r + OBA

since q = r then a = OBA

angle A + B + C = 180°

34 + ABO + r +q + a = 180

34 + a + 60 + 60 + a = 180

154 + 2a = 180

2a = 180 - 154 = 26

a = 26 / 2 = 13°

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