(TV ) bisects ∠STU, m∠STV = (1/4 x+8)°, and m∠UTV = (x+2)°. Find m∠STU.
2 answers
Question:
(TV ) bisects ∠STU, m∠STV = (1/4 x+8)°, and m∠UTV = (x+2)°. Find m∠STU.
Answers
Answer: m∠STU = (5/4)x +10° m∠STU = 20°Step-by-step explanation:Given:m∠STV = ((1/4)x+8)°m∠UTV = (x+2)°Since line TV bisects ∠STU, then;m∠STV = m∠UTVSubstituting their values; ((1/4)x +8)° = (x+2)°Collecting the like terms.(1/4)x - x = 2 - 8(-3/4)x = -6°x = -6 × -4/3x = 8°Since, m∠STU = m∠STV + m∠UTV m∠STU = ((1/4)x+8)° + (x+2)° m∠STU = (5/4)x +10Substituting the value of x; m∠STU = (5/4)(8°) +10° m∠STU = 10° + 10° = 20° m∠STU = 20°
Answer:STU equals 20 degreesStep-by-step explanation:
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