Question

∠A= 70°, ∠B= 50°. Then find the following angles.( Hint : ABCD is a cyclic quadrilateral. Opposite angles of the cyclic quadrilateral are supplementary)​

Answer 1

Answer:

<C= 110, <D = 130

Step-by-step explanation:

we know that opposite angles of a cyclic Quadrilateral are supplementary

Hence <B and <D are supplementary

similarly <C and <A are supplementary

Thus

<B + <D = 180

and

<C + <A = 180

therefore,

50 + <D = 180

<D = 130

Also

<C + 70 = 180

<C = 110

Answer 2

Question :-

∠A= 70°, ∠B= 50°. Then find the following angles.( Hint : ABCD is a cyclic quadrilateral. Opposite angles of the cyclic quadrilateral are supplementary).

Solution :-

We have :

• ∠A= 70°
• ∠B= 50°

Need to find :

• ∠C
• ∠D

We know that,

• ABCD is a cyclic quadrilateral. Opposite angles of the cyclic quadrilateral are supplementary

We get,

$\sf : \longmapsto{ \angle a + \angle c = 180 \degree} \: \\ \\ \sf : \longmapsto{ \angle b + \angle d = 180 \degree}$

Now, on putting given values we get,

$\sf : \longmapsto{70 \degree + \angle c = 180 \degree} \\ \\ \bf : \longmapsto \red{ \angle c = 110 \degree} \: \: \: \: \: \: \:$

$\sf : \longmapsto{50 \degree + \angle d = 180 \degree} \\ \\\bf : \longmapsto \red{ \angle d = 130 \degree} \: \: \: \: \: \: \: \:$

Answer :

• $\sf{ \angle c = 110 \degree}$
• $\sf{ \angle d = 130 \degree}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Learn more from brainly :

ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral..

https://brainly.in/question/31523397