Question

Find angle x in each figure:​

Answer 1

Step-by-step explanation:

i) 40

ii) 90

iii) 50

iv) 40

v) 45

vi) 70

Answer 2

Step-by-step explanation:

fig i) x=40(because when sides are same

there angle are also same)

figii) one angle=x

second angle=45

let

the other angle be z

z=45(when sides are same their angles are also same)

ATQ

x + 45 + z = 180

x + 45 + 45 = 180

x + 90 = 180

x = 180 - 90

x = 90

figiii) x = 50 (when sides are same then their angles are also same

figiv) one angle = x

second angle = 100

let

third angle = z

z = x

ATQ

100 + x + z =180

100 + x + x =180

100 +2x = 180

2x = 180 - 100

x =80÷2

x= 40

figv) one angle x

second angle 90

third angle z

x=z

90+x+x=180

90+2x=180

2x= 90

x=45

figvi) one angle 40

second angle x

third angle z

x=z

x+z+40=180

2x=140

x=70