Question

the diagonals of a rectangle ABCD intersect at O. If angleBOC = 70°. Find angleODA

Answer 1

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Answer 2

Step-by-step explanation:

IF ANGLE BOC=70= ANGLE BOC {VERTICALLY OPPOSITE ANGLE}

NOW, WE KNOW THAT DIAGONALS OF A RECTANGLE ARE EQUAL AND BISECT EACH OTHER.

SO, IN TRIANGLE AOD, AO = DO ANGLE OAD= ANGLE ODA

BECAUSE ANGLE OPPOSITE TO EQUAL SIDES OF ISOSCELES TRIANGLE ARE EQUAL, SO USING TRIANGLE SUM PROPERTY, ANGLE AOD + ANGLE ODA +ANGLE OAD = 180

ANGLE ODA + ANGLE ODA = 180 - 70

2 ANGLE ODA = 110 ANGLE ODA = 55