Question

find the value of x and also the measures of Angle A, Angle B and angle C if angle A = 2 x, Angle B equals to 2 x + 2 angle and C equal to 2 x - 7 ​

Answer 1

Answer:

Given, ∠A=xo, ∠B=(2x−15)o and ∠C=(3x+21)o.

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

Then, ∠A+∠B+∠C=180o

⟹ 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.