Q. 115.0( 4 Votes )

# In a parallelogram *ABCD,* ∠*D*= 135°, determine the measure of ∠*A* and∠*B*.

Answer :

Let one of the adjacent angle ∠*D =* 135°

Therfore other adjacent angle ∠*A* = x°

Sum of adjacent angles = 180°

∠*A =*

∠*A =* ∠*C =45° and* ∠*D =* ∠*B =135° [Measure of opposite angles of a parallelogram are equal]*

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