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  1. In ΔRST, m∠R = (2x + 10)°, m∠S = (2x + 25)°, and m∠T = (x – 5)°.

What is the value of x?

(Points : 3)

26

28

30

32

Verified Answer :

naǫ

The measures of the angles in a triangle add up to 180°.
\((2x+10)^\circ+(2x+25)^\circ+(x-5)^\circ=180^\circ \\ 2x+10+2x+25+x-5=180 \\ 5x+30=180 \\ 5x=180-30 \\ 5x=150 \\ x=\frac{150}{5} \\ \boxed{x=30}\)

konrad509

The sum of the measures of the interior angles of a triangle is \(180^{\circ}\).

So,
\(2x+10+2x+25+x-5=180\\ 5x=150\\ x=30\)

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