Question

find the angle x in the given figure​

Answer 1

Answer:

105°

Step-by-step explanation:

as sum of all exterior angle of polygon is 360°

so, x =360 - 115°+50°+90°

= 360°- 255°

=105°

Answer 2

Answer:

Given :angle HDA=50

EAB=115

GCD=90

TO PROVE =ANGLE X

proof = angle DCB = 90 (linear pair)

angle CDA = 180-50=120(Linear pair)

angle DAB =180-115=65(linear pair)

CBA+DCB+CDA+DAB=360(angle sum property of a quadrilateral)

CBA+90+120+65=360

CBA+275=360

CBA=360-275

CBA=85

X=180-85(linear pair)

X=95

Hence Proved