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I need help with this please and I have to explain how I calculated each angle

I need help with this please and I have to explain how I calculated each angle-example-1
User Herchu
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1 Answer

4 votes

For the given figure, we will find the measure of each angle:

1) ∠a ad ∠35 are the same side interior angles

So, ∠a = 180 - 5 = 145

2) ∠a and ∠b are forming a straight angle

So, ∠b = 180 - ∠a = 180 - 145 = 35

3) ∠c = ∠a, the alternative angles are congruent

∠c = 145

4) ∠e and ∠110 are the same side interior angles

∠e = 180 - 110 = 70

5) ∠d = ∠e; the alternative ngles are congruent

∠d = 70

6) ∠f and ∠e are supplementary angles

∠f = 180 - ∠e = 180 - 70 = 110

7) ∠g and ∠125 are the same side interior angles

∠g = 180 - 125 = 55

8) ∠h = ∠125; the alternative angles are congruent

∠h = 125

9) ∠i and ∠g are supplementary angles

∠i = 180 - ∠g = 180 - 125 = 55

10) ∠j and ∠130 are supplementary angles

∠j = 180 - 130 50

11) ∠m = ∠j; the alternative angles are congruent

∠m = 50

User Tewathia
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