Answer: (3x+13)°= 118° and (x-8)°= 27°.
Step-by-step explanation:
We know that , According to the angle sum property of triangle : the sum of all angles of a triangle is 180°.
According to the given picture , in triangle ABC , we have
∠A =(3x+13)° , ∠B = (x-8)° and ∠C=x°
Now , by angle sum property , we have
(3x+13)° + (x-8)° +x°= 180°
⇒ 3x+13+x-8+x=180
⇒ 5x+5=180
⇒ 5x=175 [subtracting both sides by 5]
⇒ x= 35 [Dividing both sides by 5]
Now , (3x+13)° =( 3(35)+13) ° =118°
(x-8)°= (35-8)° = 27°
Hence, the answer is (3x+13)°= 118° and (x-8)°= 27°.
