In the following figure, find measures of all four angles A, B, C, D in the parallelogram ABCD. and ∠DBC = 25 degree
; ∠ BDC = 20 degree
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In ∥gm opposite angles are supplementary.
Therefore,
∠B+∠D=180
∘
2x+25+3x−5=180
∘
x=
5
180−20
=32
∠B=2x+25=(2∗32)+25=89
∘
∠D=3x−5=(3∗32)−5=91
∘
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rectangle is a parallelogram in which one angle is of 900. • A square ... Example 6 : ABCD is a quadrilateral in which AB = 5 cm, CD = 8 cm ... Example 27 : Find x in the following figure.
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