Answer:
m∠C = 56 and (4x + 16) = 180
Step-by-step explanation:
The sum of angle in a triangle is 180, hence:
<A+<B+<C = 180
Given
<A = 2x+1
<B = x
<C = x+15
Substitute
2x+1+x+x+15 = 180
collect like terms:
2x+x+x+1+15 = 180
4x+16 = 180
4x = 180-16
4x = 164
Divide both sides by 4
4x/4 = 164/4
x = 41°
Since <A = 2x+1
<A = 2(41)+1
<A = 82+1
<A = 83
<B = x = 41
<C = x+15
<C = 41+15
<C = 56
Based on the calculation above, the true statements are:
m∠C = 56 and (4x + 16) = 180