Question

what is the answer to
Given: Triangle PQR with m∠P=(5x)° , m∠Q=(5x)° , and m∠R=(8x)° .

Prove: x = 10

Answer 1

Explanation:

The sum of the measures of the interior angles of a triangle is 180°. Then the sum of the given angles is 180°:

m∠P +m∠Q +m∠R = 180°

(5x)° +(5x)° +(8x)° = 180°

18x = 180 . . . . . . . . . . . . . . . collect terms, divide by °

x = 10 . . . . . . . . . . . . . . . . . . divide by 18. This is your desired result.

Answer 2

Explanation:

The sum of the measures of the interior angles of a triangle is 180°. Then the sum of the given angles is 180°:

m∠P +m∠Q +m∠R = 180°

(5x)° +(5x)° +(8x)° = 180°

18x = 180 . . . . . . . . . . . . . . . collect terms, divide by °

x = 10 . . . . . . . . . . . . . . . . . . divide by 18. This is your desired result.