Question

Find the measure of each angle in Triangle TUV when angle T measures (7x + 4) degrees, angle U measures (2x + 5) degrees and angle V measures (5x + 3) degrees.

Answer 1

Solution: T=88°, U=29°, V=63°

Step by step solution:
Since we know that all angles in a triangle add up to 180 we can make an equation to find x
7x+4+5x+3+2x+5=180
14x+12=180
14x=168
x=12
Now just plug 12 as the x value into the equation for the measure of each angle
T=7(12)+4=88°
U=2(12)+5=29°
V=5(12)+3=63°