Question

the measure of two angle of a quadrilateral are 105 degrees and 55 degrees and other 2 angles are equal. find other 2angles​

Answer 1

Step-by-step explanation:

According to angle sum property of quadrilateral sum of all angles of a quadrilateral is 360°

Let's take other two angles be x°

105°+55°+x°+x°=360°

160°+2x=360°

2x=200

x=100

Therefore the other two angles are 100° and 100°

Answer 2

Step-by-step explanation:

given :-

angle A = 105°

angle B = 55°

find :-

angle c and d

both angle are equal

solution:-

angle(a+b+c+d)= 360°

105°+55°+c+d = 360°

160°+c+d = 360°

c+d = 360°-160°

c+d = 200°

c+c = 200° (because both angle are equal)

2c = 200°

c = 200/2

c = 100

so,

angle c = 100°

angle d = 100°