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Colt1911 [192]
2 years ago
6

(a) An angle measures 25°. What is the measure of its complement?

Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

Answer:

A) 65 degrees

B) 89 degrees

Step-by-step explanation:

Complementary angles always add up to 90 degrees whereas supplementary angles always add up to 180 degrees

Hope it helps :)

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Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

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2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

∠WVS = 125°

4. ∠RST = <R + <RVS (exterior angle theorem)

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<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

∠RSV = 70°

6. ∠VSU = <RST (vertical angles are congruent)

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7. ∠UST = <RSV (vertical angles)

<UST = 70°

8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

<TUS = 180 - (70 + 71)

<TUS = 39°

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