Question

find the angle measure x in each of the following

Answer 1

Answer:

(a)

Sum of all interior angles of quadrilateral =3600

∴50+130+120+x=300

x=600

(b) 

90+a=180

a=90

Sum of all angles of quad =360

x+70+60+90=360

x=1400

(c) 

70+a=180 (Linear pair)

a=110

60+b=180 (Linear pair)

b=120

Sum of measures of all angles of pentagon =5400

∴120+110+x+x+30=540

2x=280

x=1400

(d) 

Sum of all angles of pentagon 540

Given all angles are equal

∴5x=540

x=1080