Question

PLEASE HELP!!!

DB¯¯¯¯¯ is a diagonal of parallelogram ABCD .

What is the measure of ∠ADB?



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Answer 1

Consecutive angles of a parallelogramare supplementary. So, sum of ∠A and ∠D must be equal to 180°. Therefore,

∠A + ∠D = 180°.

Now ∠D can be break into ∠ADB and ∠ BDC. So,

∠A + ∠ADB + ∠BDC = 180

96 + ∠ADB + 38 = 180

134 + ∠ADB = 180 Combine the like terms.

134 +∠ADB -134 = 180 - 134 By subtracting 134 from each sides.

∠ADB = 46

So, measure of ∠ADB is 46°.