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Question 10please slove it​

Answer»

Answer:angle DCB=120°,angle CAB=50°, angleDAC=79°

Step-by-step explanation:

GIVEN that ABCD is a parallelogram

we know that in a parallelogram opposite angles are equal.

angle ADC =angle ABC=60°

In ∆ABC

angle ABC+ angle BAC +angle ACB=180°(Since sum of the angles of a traingle =180°)

60°+angle BAC+70°=180°

130°+angle BAC=180°

angle BAC=180°-130°

angle BAC=50°

In a parallelogram opposite sides are parallel

so AD||CB

angle ACB= angle DAC=70° (since interior alternate angles are equal)

SIMILARLY AB||DC

angle DCA= angle BAC=50°

angle DCB=Angle DCA +angle ACB

angle DCB=50°+70°

angle DCB=120°



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