Question

two angles of a quadrilateral are 70 and 50 and other two angles are in the ratio 8:4 then find the measure of each angle​

Answer 1

Answer:

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Answer 2

Let the four angles be ∠A,∠B,∠C and ∠D .

Given two angles are equal.

Then ∠A=∠B=x.

Also, ∠C=70

o

and ∠D=80

o

.

We know, by angle sum property, the sum of angles of a quadrilateral is 360 o.

∠A+∠B+∠C+∠D=360 o

x+x+70 o+80 o

=360 o2x+150 o

=360 o

⇒2x=360 o −150 o

⇒2x=210 o

⇒x=105 o

.Hence, the equal angles are =105 o each

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