Math, asked by mythilisubramanian, 1 month ago

The angles of a quadrilateral PQRS are 28°,(3x + 10), (4x +15) and (x - 5)". Find measure of each angle of the quadrilateral​

Answers

Answered by rupeshpradhan07
1

Answer:

answer is in the photos

Step-by-step explanation:

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Correct option is

C

The measures of the angles are 38

0

,74

0

,76

0

and 172

0

Given, x,(3x−40),2x,(4x+20).

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

0

.

Therefore, x+(3x−40)+2x+(4x+20)=360

o

⇒10x−20

o

=360

o

⇒10x=360

o

+20

o

=380

o

⇒x=

10

380

o

=38

o

.

Now, x=38

o

,

2x=2×38

o

=76

o

,

3x−40

o

=3×38

o

−40

o

=74

o

and 4x+20

o

=4×38

o

+20

o

=172

o

.

Thus, the measures of the angles are 38

o

,74

o

,76

o

and 172

o

.

Hence, option C is correct.

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