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3 years ago

What’s the value of y?

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

Answer:

Step-by-step explanation:

Since BD and AE are parallel lines, then

∠BDC = ∠AED ( corresponding angles ), thus

4x - 5 = 97 - 2x ( add 2x to both sides )

6x - 5 = 97 ( add 5 to both sides )

6x = 102 ( divide both sides by 6 )

x = 17, hence

∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°

∠BDE and ∠AED are same side interior angles and are supplementary, thus

10y - 3 + 63 = 180

10y + 60 = 180 ( subtract 60 from both sides )

10y = 120 ( divide both sides by 10 )

y = 12 → D

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