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At point O there is a right angle and three angles $2 y + 10$ °, $3 y$ and $4 y - 10$ °. Find $y$ .

Class 7Angles Around a PointLines and Angles

A $y = 35$
B $y = 30$
C $y = 27$
D $y = 25$

Step-by-Step Solution

90 + (2 y + 10) + 3 y + (4 y - 10) = 360

, so

9 y + 90 = 360, 9 y = 270, y = 30

. Check: 70°, 90°, 110° and the right angle add to 360°.

Answer: B)

y = 30

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