The sum of angle 1 and angle 8 is 90 degrees. Then the correct option is D.
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
Let angle 1 be x. Then we have
∠ 1 = ∠ 3 = x (vertically opposite angles)
∠ 9 + ∠ 3 = 90 (complementary angles)
∠ 9 = 90 - x
∠ 9 + ∠ 10 = 90 (complementary angles)
∠ 10 = x
∠ 10 + ∠ 8 = 90 (complementary angles)
∠ 8 = 90 - x
Then the sum of angle 1 and angle 8 is 90 degrees. Then we have
∠ 1 + ∠ 8 = x + 90 - x
∠ 1 + ∠ 8 = 90
Then the correct option is D.
More about the angled link is given below.
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