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AlekseyPX
4 years ago
8

Find the value of x. Find m

Mathematics
1 answer:
iogann1982 [59]4 years ago
4 0

Answer:

∠ QRS = 100°

Step-by-step explanation:

Since RU bisects ∠ QRS , then

∠ QRU = ∠ SRU , that is

\frac{1}{2} x + 10 = 50 ( subtract 10 from both sides )

\frac{1}{2} x = 40 ( multiply both sides by 2 )

x = 80

Then

∠ QRU = \frac{1}{2} x + 10 = 0.5 × 80 + 10 = 40 + 10 = 50°

∠ QRS = 50° + 50° = 100°

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