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7. In figure, AB is a diameter of the circle. DC is parallel to AB and angleCAB = 25°. Find angleADC.
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Answered by
4
Step-by-step explanation:
given ab is diameter
ab is parallel to dc
therefore angle adb = 155degree
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Answered by
6
•according to the question
the following picture is given below
∠CAB=25°(according to the question)
∠ACB=90°
we know,
∠CAB+∠ACB+∠ABC=180°(Angle Sum Property)
25°+90°+∠ABC=180°
or,115°+∠ABC=180
so,∠ABC=65°
∠ABC+∠ADC=180°
as we know that the Sum of opposite angles of cyclic quadrilateral is 180°
65°+∠ADC=180°
so,
∠ADC=115°
so the final answer is angle ADC is 115°
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