Question

1) Find the values of 'a' and 'b' for the given parallelogram *

b+6
a
2a
1229
10
a= 29 and b = 4
O a= 61 and b = 16
O a= 4 and b = 58
none of these
Please please

Answer 1

first option

Explanation:

In a parallelogram consecutive angle are supplementary, sum to 180, so

2a + 122 = 180 ( subtract 122 from both sides )

2a = 58 ( divide both sides by 2 )

a = 29

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In a parallelogram the opposite sides are congruent, then

b + 6 = 10 ( subtract 6 from both sides )

b = 4