Question 540522
Let the measure of angle A (in degrees) be x.
The measure of angle B is 32 degrees more than (add 32 to what follows) 3 times the measure of angle A. Three times the measure of angle A is 3x, so the measure of angle B (in degrees) is 3x+32.
The measure of angle C is 58 degrees more than (add 58 to what follows) the measure of angle A. So the measure of angle C (in degrees) is x+58.
You must know that the sum of the measures of the 3 angles in a triangle is 180 degrees. So,
{{{x+(3x+32)+(x+58)=180}}}
We know that those parentheses are unnecessary because we can associate and shuffle the terms added without change (commutative and associative properties), so {{{x+3x+32+x+58=180}}} --> {{{5x+90=180}}} --> {{{5x=180-90}}} --> {{{5x=90}}} --> {{{x=90/5}}} --> {{{x=18}}}
The measure of angle A is 18 degrees.
The measure of angle B (in degrees) is {{{3x+32=3*18+32=54+32=86}}}
The measure of angle B is 86 degrees.
The measure of angle C (in degrees) is {{{x+58=18+58=76}}}
The measure of angle C is 76 degrees.