Question

Geometry please help
Find the measure of the interior angles to the nearest tenth.

Answer 1

Answer:

explanation in attachment

Answer 2

GIVEN

$(3x + 2) \\( 4x + 1) \\ (x - 1) \\ \\ \red{ACCORDING \: \: \: TO }\\ \blue{ SUM \: \: RULE} \\ angle \: sum \: = 180 \\ (3x + 2) + (4x + 1) + (x - 1) = 180 \\ 3x + 4x + x + 2 + 1 - 1 \\ 8x + 2 = 180 \\ 8x = 178 \\ x = 22.25$

$\orange{ANGLE \: \: ONE } = 3x + 2 \\ (3 \times 22.25) + 2 \\ 66.75 + 2 = 68.75 \degree$

$\pink{ANGLE \: \: TWO} = 4x + 1\\ = (22.25 \times 4) + 1 \\ 89 + 1 = 90 \degree$

$\green{ANGLE \: \: THIRD} = x - 1 \\ 22.25 - 1 = 21.25 \degree$