Question

T |3x° -- V W Find the measure of angles T and V. mZT= o mZV=

Answer 1

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5