Question

ASAP!!!!

Find the missing angle values show work.complete sentence

A. Angle a = ____
b. angle b = ____
c. angle c = ____
d. angle d = ____
e. These angles together make a complete rotation/a circle.What do you get when you add all the angles together.What does this number have to do with a circle?

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Answer 1

Explanation:

Angle a = 35°

Angle b = 40°

Angle c = 35°

Angle d = 70°

When you add all the angles together, you get 360°. This number has to do with a circle because 360° is the total number of degrees in a circle, half of a circle would be 180°.

Hope this helps!

Answer 2

∠a = 35

∠b = 40

∠c = 35

∠d = 70

Explanation:

∠b = 40 {Vertical angles are congruent}

∠d = 70 {Vertical angles are congruent}

∠1 = ∠ a

∠2 = ∠c

∠1 = ∠2

So, ∠1 =∠2 = ∠a = ∠c

70 + 40 + ∠a + ∠2 = 180 {Straight line angle}

110 + 2∠a = 180 {∠a =∠2}

2∠a = 180 - 110

∠a = 70/2

∠a = 35

∠1 =∠2 = ∠a = ∠c = 35

e) When we add all the angles, we get 360.