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I'm not sure how to find the degrees for angle d

I'm not sure how to find the degrees for angle d-example-1
User Mercedes
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1 Answer

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Answer

a° = 58°

b° = 48°

c° = 74°

d° = 122°

Step-by-step explanation

To answer this, we need to first know

- what alternate angles are.

- that the sum of angles in a triangle is 180°.

- The sum of angles on a straight line is 180°.

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.

We can see that

a° = 58°

b° = 48°

Then, for c°,

48° + 58° + c° = 180° (Sim of angles in a triangle is 180°)

106° + c° = 180°

c° = 180° - 106°

c° = 74°

Then, for d°,

58° + d° = 180° (Sum of angles on a stright line is 180°)

d° = 180° - 58°

d° = 122°

Hope this Helps!!!

User JanOlMajti
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