Question

the measure of one angle is 11 more than 4 times a number another angle is twice the first angle measure the sum of the measures of the angles is 195 degrees what is the measure of each angle in degrees

Answer 1

61° and 122°

Explanation:

Set number to n

Measure #1 = 11+4n

Measure #2 = 2(11+4n)=22+8n

Solve for n:

11+4n+22+8n=195

33+12n=195

12n=162

n=12.5

Measure #1 = 11+4(12.5)=61°

Measure #2 = 22+8(12.5)=122°