Question

In a triangle, the measure of the second angle is half the measure of the first. The third angle is

5 degrees more than twice the measure of the first. Find the measures of the three angles.

Answer 1

50; 25; 105

Explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.