Pre-Algebra Questions? Define variables, write equations, and solve!

Question

3. The second angle in a triangle is 3 times the first angle. The third angle is 35 more than the first angle. Find the measure for each angle.

Answer 1

Let the first angle is X, the second angle is Y and the third angle is Z.

The second angle in a triangle is 3 times the first angle. The third angle is 35 more than the first angle.

So, Y = 3X and Z = 35 + X.

Recall: The total of three angles in the triangle is 180.

So, X+Y+Z = 180.

substitute Y = 3X and Z = 35+X in the equation.

X+3X+35+X = 180

5X+35 = 180

Subtract 35 from each side.

5X = 145

Divide each side by 5.

X = 29

Y=3X=3(29)=87

Z=35+X=35+29=64

Therefore X=29, Y=87 and Z=64.

Comments

Thanks for help