Question

1 point

Item at position 12
Find x and the measure of angle P.

x =
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,
angle P =
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degrees

Answer 1

Explanation:

Angle sum property of triangle: Sum of all angles of triangle is 180

∠P + ∠Q + ∠R = 180

10x - 4 +4x - 22 + x +11 = 180

10x + 4x + x - 4 - 22 + 11 = 180

Combine like terms,

15x - 15 = 180

Add 15 to both sides

15x = 180 + 15

15x = 195

Divide both sides by 15

x = 195/15

x = 13

∠P = 10x - 4

= 10*13 - 4

= 130 -4

∠p = 126°