Question

If m rst = 70, m qst = 2x, and m qsr = 3x-10 what is the m qsr

Answer 1

m∠rst =70°

m∠qst=2x

m∠qsr=3x-10°

It means two rays originate from point s.Diagram is attached below.

→m∠qsr=m∠rst + m∠qst

→ 3x-10°=70°+2x

→3x-2x=70°+10°

→x=80°

m∠qsr=3 ×80°-10

=240°-10°

=230°

Answer 2

m qsr = 62°

Explanation:

From my understanding, the question states 3 angles of a triangle

All 3 angles of a triangle are equal to 180°.

Step 1: Find x

70 + 2x + 3x - 10 = 180°

70 + 5x - 10 = 180

5x = 180 - 60

x = 120/5

x = 24°

Step 2: Find angle qsr

m qsr = 3x - 10

m qsr = 3(24) - 10

m qsr = 62°

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