Question

Q10. In a cyclic quadrilateral, the difference between two opposite angles is 58°, the measures of opposite angles are
a. 158,22

b. 129',.51
c. 109,71°
d. 119,62
​

Answer 1

Answer:

d

Step-by-step explanation:

sum of opposite angles of cyclic quadrilateral is 180 degree

Answer 2

Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Difference between two opposite angles = 58°

Sum of two opposite angles = 180°

So, According to question, it becomes,

$x+y=180^\circ\\\\x-y=58^\circ\\\\-------------------------\\\\2x=238\\\\x=\dfrac{238}{2}\\\\x=119^\circ$

Other angle would be

$180-119=61^\circ$

Hence, the measure of opposite angles are 119 and 61.

therefore, Option 'd' is correct.

# learn more:

Difference between the opposite angles of a cyclic quadrilateral is 24. Find the angles.

https://brainly.in/question/1284818