Question

ABCD is a rhombus. Show that diagonal AC bisects ∠ A as well as ∠ C. OR In given figure if AB || CD, ∠ APQ = 50° and ∠ PRD = 127°, find x and y. full explanation ​

Answer 1

Answer:

In △ABC and △ADC,

AB = AD ....Sides of a rhombus

AC = CD ....Sides of a rhombus

AC = AC ....Common side

△ABC≅△ADC ....SSS test of congruence

∴∠BAC=∠DAC ....C.P.C.T.

∴∠BCA=∠DCA ....C.P.C.T

So, Diagonal AC bisects ∠A and ∠C of the rhombus ABCD.

Step-by-step explanation:

Sorry without the diagram it is impossible to solve thw second portion.

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