Question

Find the measure of each interior angle
M M M M

Answer 1

Angle Q = 121°

Angle T = 51°

Angle S = 123°

Angle R = 51°

Explanation:

• The sum of the interior angles of any quadrilateral is 360

so

Find x

360 = x + 2x + 5 + x + 2x + 7

360 = 6x + 12

360 - 12 = 6x

348 = 6x

x = 348 : 6

x = 58° (value of x and of the angles R and T)

Find angle Q

2x + 5 =

2 * 58 + 5 =

116 + 5 =

121°

Find angle S

2x + 7 =

2 * 58 + 7 =

116 + 7 =

123°

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check

58 + 58 + 121 + 123 = 360°

the answer is good