Question

Someone Please help me answer this question.

Answer 1

∠Q = 90°

∠S = 49°

∠R = 41°

Explanation:

• the sum of the interior angles of a triangle is 180°

it means ∠Q + ∠S + ∠R = 180°

to find the value of b:

90 + 7b + 14 + 6b + 11 = 180

7b + 6b = 180 - 90 - 14 - 11

13b = 65

b = 65/13

b = 5

so the measure of S:

7 * 5 + 14 = 49

and the measure of R:

6 * 5 + 11 = 41

∠Q = 90°

∠S = 49°

∠R = 41°

Answer 2

see explanation

Explanation:

The sum of the 3 angles in a triangle = 180°

Note ∠ Q is a right angle = 90°

Sum the angles and equate to 180

7b + 14 + 6b + 11 + 90 = 180, that is

13b + 115 = 180 ( subtract 115 from both sides )

13b = 65 ( divide both sides by 13 )

b = 5

Thus

∠ R = 6b + 11 = 6(5) + 11 = 30 + 11 = 41°

∠ S = 7b + 14 = 7(5) + 14 = 35 + 14 = 49°

∠ Q = 90°