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lakkis [162]
2 years ago
11

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

Mathematics
2 answers:
mel-nik [20]2 years ago
5 0

Answer:

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°

Anna [14]2 years ago
4 0

Answer:

m qsr = 62°

Step-by-step explanation:

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

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

<u>Step 1: Find x</u>

<em>70 + 2x + 3x - 10 = 180°</em>

<em>70 + 5x - 10 = 180</em>

<em>5x = 180 - 60</em>

<em>x = 120/5</em>

x = 24°

<u>Step 2: Find angle qsr</u>

<em>m qsr = 3x - 10</em>

<em>m qsr = 3(24) - 10</em>

m qsr = 62°

!!

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