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Find the measure of each angle

Find the measure of each angle-example-1
User Bharath R
by
8.6k points

1 Answer

5 votes

Answer:

m∠QRT = 47°

m∠TRS = 133°

Explanation:

Because points Q, R, and S are collinear, ∠QRT and ∠TRS are supplementary. This means that:

m∠QRT + m∠TRS = 180°

Plug-in the known values and simplify:

3x + 5 + 10x - 7 = 180

13x - 2 = 180

13x = 182

x = 14

Now that you have the value of x, plug them into the values of the angles:

m∠QRT = 3x+ 5

= 3(14) + 5

= 42 + 5

= 47°

m∠TRS = 10x - 7

= 10(14) - 7

= 140 - 7

= 133°

To double-check:

133° + 47° = 180° ☺

User Micheline
by
8.3k points

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