20 Intersecting lines r, s, and t are shown below.
106°
239
What is the value of a?
I

97°

Explanation:

Taking line s;

Inner angle ;st

st + 106 = 180° (Sum of angles on a straight line)

st = 180 - 106 = 74°

Third angle in the inner triangle, take angle as a:

74 + 23 + a = 180 (sum of angles in a triangle)

97 - a = 180°

a = 180 - 97

a = 83°

a + x = 180 (Sum of angles on a straight line)

83 + x = 180

x = 180 - 83

x = 97°

8.5

explanation:

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