Math, asked by vanshnegi31, 15 hours ago

12.In the given figure, find x. C |(2x + 15) (x + 10) B​

Answers

Answered by llitzBadshahll
9

Answer:

Given, ∠A=x

o

, ∠B=(2x−15)

o

and ∠C=(3x+21)

o

.

We know, by angle sum property, the sum of angles of a triangle is 180

o

.

Then, ∠A+∠B+∠C=180

o

⟹ x

o

+(2x−15)

o

+(3x+21)

o

=180

o

⟹ 6x

o

+6

o

=180

o

⟹ 6x

o

=180

o

−6

o

⟹ 6x

o

=174

o

⟹ x

o

=29

o

.

Therefore,

∠A=x

o

=29

o

,

∠B=(2x−15)

o

=2×29

o

−15

o

=58

o

−15

o

=43

o

and ∠C=(3x+21)

o

=3×29

o

+21

o

=87

o

+21

o

=108

o

.

Similar questions