Question

Q15. Find the angle measure x in the following figures.​

Answer 1

Answer:

1) x=150°

2)x=50°

Step-by-step explanation:

1)30°+x+(180°-70°)+x+(180°-60°)= 520°[ sum of the angle of the interior angle]

2x+220°= 520°

2x= 520-220

X=300/2

x= 150°

2) x+90°+60°+90°+70°= 360° (the sum of the angle of the exterior angle)

x+310°=360°

x=360°-310°

x=50°

Answer 2

Answer:

(i) 50°

(ii) 50°

Step-by-step explanation:

(i) 2x + 30 + 120 + 110 = 360

2x + 260 = 360

2x = 360 - 260

2x = 100

x = 100÷2

x = 50°

(ii) sum of all exterior angles = 360°

60 + 90 + 70 + 90 + x = 360°

x + 310 = 360

x = 360-310

x = 50°

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