Answer:
∠T = 60
∠V = 30
Step-by-step explanation:
All angles in a triangle must add up to 180, we can tell one angle is 90 degrees because it has the right angle square mark on it. The other two angles are 2x and x so:
90 + x + 2x = 180
Step 1 - Subtract 90 from both sides of the equation:
90 + x + 2x - 90 = 180 - 90
x + 2x = 90
3x = 90
Step 2 - Divide both sides by 3 to find x:
[tex]\frac{3x}{3} = \frac{90}{3}[/tex]
x = 30
Step 3 - Now calculate the sizes of each angle:
∠T is 2x so:
2 x 30 = 60
∠V is x so:
V = 30
In conclusion:
∠T = 60
∠V = 30
Hope this helps!
