If angle pqt is (3x+47)and angle sqr is (6x-25), find the measure of angle sqr

Mathematics

1 answer:

Radda [10]3 years ago

5 0

Answer:

Angle sqr = 119°

Step-by-step explanation:

In the above question, we are given:

angle pqt is (3x+47)°

angle sqr is (6x-25)°

Angle pqt = Angle sat

We solve for x

3x + 47 = 6x - 25

Collect like terms

47 + 25 = 6x - 3x

72 = 3x

x = 72/3

x = 24

We solve for the measure of angle sqr

Angle sqr = (6x - 25)

x = 24

6 × 24 - 25

144 - 25

= 119°

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