in a cyclic quadrilateral abcd twice the measure of angle A is thrice the measure of angle C. find the measure of angle C
Answers
Answered by
7
Answer:
90 degree
Step-by-step explanation:
in a cyclic quadilateral,
opposite angles add upto 180 degree.
= angle A + angle C = 180 degree
now, let angle A be 2x
angle C = 3y
= 2x + 3y = 180
= 2(3y) = 180
= 6y = 180
= y = 30
= angle C = 3*30 = 90 degree
Answered by
11
Answer:
The answer is 72°
Step-by-step explanation:
Twice the measure of angle A is thrice the measure of angle C:
⇒ 2A = 3C
⇒ A : C = 3 : 2
Define x:
Let x be the constant ratio
A : C = 3x : 2x
Cyclic quadrilateral is a quadrilateral inscribed in a circle.
⇒ The sum of the opposite angles of a cyclic quadrilateral is supplementary.
Solve x:
3x + 2x = 180
5x = 180
x = 36º
Find Angle C:
Angle C = 2x = 2(36) = 72º
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