Answer :
The measure of angle WUT is 100.4° . Let's solve this step by step:
Step 1: As per the given, angle VUW and angle WUT are supplementary. So, the sum of these two angles would be 180°.
Step 2: Let's denote the measure of angle VUW as (4x + 6)° and measure of angle WUT as (6x - 10)°.
Step 3: By setting up an equation based on Step 1, we have:
(4x + 6) + (6x - 10) = 180.
Step 4: Simplify this equation, it becomes:
10x - 4 = 180.
Step 5: Solve the equation from Step 4 for x, which results in x = 92/5.
Step 6: Substitute x = 92/5 into the equation for angle WUT:
Angle WUT = 6*(92/5) - 10 = 100.4°.
So, the measure of angle WUT is 100.4°.
To know more about supplementary visit:
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