Question

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(TV ) ⃗ bisects ∠STU,m∠STV=(1/4 x+8)°,
and m∠UTV=(x+2)°.Find m∠STU.

Answer 1

m∠STU = 20 °

Explanation:

Since the line bisects the angle, we have that the two bisected angles are equal

Thus, mathematically;

x + 2 = x/4 + 8

Multiply through by 4

4x + 8 = x + 32

4x-x = 32-8

3x = 24

x = 24/3

x = 8

So to find the value of the original angle, we input 8 into each of the bisected angles and add together

mathematically, that will be ;

10 + 10 = 20