Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
5. Reasoning in Algebra and Geometry
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Exercise 41 Page 119

The sum of all denoted angles is a straight angle.

y=35

Practice makes perfect

We have been asked to find y. One of the angles on the figure is denoted with a square — this means it is a right angle.

We can see that the sum of all three denoted angles is a straight angle. This means that if we were to add measures of those angles, we would get 180^(∘). 55 + y + 90 = 180 We can solve the equation above for y.
55+y+90=180
145+y=180
y = 35