Question

Help me to do exercise no 4​

Answer 1

y=50 and z=60 (vertically opposite)

x+60+y=180

or x+60+50=180

or x+110=180

or x=70

Answer 2

Explanation:

a.x = 95 degree

reason = being vertically opposite angles

x + 145 degree = 180 degree

x = 180 -145

x=35 degree

reason = being linear pair

b.40 + x =90 degree

x = 90 - 40

x = 50 degree

reason = being perpendicular

y = x + 40

y = 50 + 40

y = 90 degree

reason = being vertically opposite angles

c.50 + 60 + x=180 degree

110 + x =180

x = 180-110

x = 70 degree

reason = being linear pair

z = 60 degree

reason = being vertically opposite angles

y = 50 degree

reason = being vertically opposite angles

d. x = 80 +10

x =90 degree

reason = being vertically opposite angles

y + x =180 degree

y + 90 =180

y = 180 - 90

y = 90 degree

reason = being linear pair