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In ASTU, SU is extended through point U to point V, mUST = (× + 5)°. m/STU = (2x + 16)°, and m/TUV = (6x - 9)°. Find mLSTU.

User DessDess
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8.1k points

2 Answers

3 votes

Answer:

53 1/3°

Step-by-step explanation:

I think that you are trying to find angles, but I am not sure.

I think that mLSTU means m<STU

The sum of the interior angles of a triangle is 180°

In ASTU, SU is extended through point U to point V, mUST = (× + 5)°. m/STU = (2x + 16)°, and-example-1
User Marvin Soto
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9.5k points
4 votes

Final answer:

To find mLSTU, we need to find the value of x and substitute it into the equation for mSTU.

Step-by-step explanation:

To find mLSTU, we need to find the value of x. First, we know that angles in a triangle add up to 180°, so we can set up an equation:

(× + 5)° + (2x + 16)° + (6x - 9)° = 180°

Simplifying and solving for x gives us x = 10. Substituting x back into the equation for mSTU, we get:

mLSTU = (2(10) + 16)° = 36°

User Kree
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8.3k points