Question

Find the value of a and b.

A=

B=

Answer 1

a = 60 degrees, b = 60 degrees

Explanation:

30 + b would be a complementary angle which is 90 degrees.

30 + b = 90

b = 60

a would also be 60 degrees because they are vertical angles.

Answer 2

a = 60

b = 60

Explanation:

Vertical angles are congruent to each other

Vertical angle pairs:

AXE = YXC = 30

a = b

BXA = DXC + 90

Line AC is 180 degrees because of definition of a straight line.

This means AXE + b + DXC = 180 (Parts Whole Postulate)

Substitute given angle measurements

30 + b + 90 = 180

b = 180 - 12

b= 60

Since b=a, that means a = 60

Hope this helps :)

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