Question

Q9) The measure of exterior angles of a quadrilateral are (x + 30), 2(x - 10),
(3x - 10) and (x + 17) degrees. Find the measure of each angle of the quadrilateral​

Answer 1

Answer:

79,88,137,66

Step-by-step explanation:

Angle sum property of quadrilateral =

angle A+angle B + angle C + angle D = 360°

(x+30)+2(x-10)+(3x-10)+(x+17)=360

x+30+2x-20+3x-10+x+17=360

7x+17=360

7x=360-17

x=343/7=49.

angle a=x+30=49+30 = 79°

angle b = 2x-10 = 2×49-10= 98-10 =88°

angle c = 3x-10 = 3×49-10 = 147-10 = 137°

angle d = x+17 = 49+17 = 66°

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