1

Problem

In triangle UVW, the measure of angle U is four times the measure of angle V, and the measure of angle W is three times the measure of angle V. If angle V measures 30 degrees, find the measures of angles U and W.

2

Step

Given that the measure of angle V is

30 degrees

3

Step

The measure of angle U is four times the measure of angle V:

Angle U = 4 * Angle V

4

Step

Substitute the Angle V value

\$Angle U = 4 * 30degrees = 120 degrees\$

5

Step

the measure of angle W is three times the measure of angle V:

Angle W = 3 * Angle V

6

Step

Substitute the Angle V value

Angle W = 3 * 30

7

Step

After simplification

90 degrees

8

Solution

In triangle UVW:
Angle U = 120 degrees
Angle V = 30 degrees
Angle W = 90 degrees

9

Sumup

Please summarize steps

Choices

10

Choice-A

This is incorrect, as it does not match the calculation

Wrong 135 and 25 degrees

11

Choice-B

This is incorrect, as it does not match the calculation

Wrong 110 and 80 degrees

12

Choice-C

This is correct because it correctly states the measures of angles U and W as 120 and 90 degrees

Correct 120 and 90 degrees

13

Choice-D

This is incorrect, as it does not match the calculation

Wrong 140 and 45 degrees

14

Answer

Option

C

15

Sumup

Please summarize choices