Question

if the measures of the angles of a triangle are represented by (x+30), (4x+30), and (10x-30), the triangle must be

Answer 1

The sum of angle measures is 15x+30 = 180, so x=10.

The angles are 40°, 70°, and 70°.

The triangle is isosceles.

Answer 2

We know triangles equal 180. Add all angles equal to 180. Then plug in the answer for x in each angle expression.

(x+30)+(4x+30)+(10x-30)= 180
combine like terms
15x+30=180
subtract 30 from both sides
15x= 150
divide both sides by 15
x=10

Angle 1:
=(x+30)
=10+30
=40

Angle 2:
=(4x+30)
=4(10)+30
=40+30
=70

Angle 3:
=(10x-30)
=10(10)-30
=100-30
=70

ANSWER: Since there are two equal angles, this is an Isosceles Triangle.

Hope this helps! :)