Question

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Answer 1

Explanation:

1)one

2)180°

3)120°

4) zero

5)90°

1)a.complementary angle

b.equal angles

c.supplementary angles

2)

a.42+x=180° + linear pair)

=>x=180-42=138°

b.x+105+x=180°(linear pair)

=>2x+105=180

= 2x=180-105

=>2x=75

=>X=75/2=37.5°

c.90+x/2+x+x=360°

(angle around a point is 360°)

=>2x+x/2+90=360

=( 4x+x+180)/2=360

=>5x+180=720

=>5x=720-180

=>5x=180

=>x=180/5

=>x=36

3.let the angle be X

It's supplementary angle=180-X

now it is 30less than two times it supplementary

=>X=2(180-X)-30

=>X= 360-2x-30

=>X+2X=330

=>3x=330

=>X=330/3

=>X=110

The angle is 110°