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In the figure BFAE, mBOC=x, and mGOH=y. Express the measure of the angle in terms of x, y, or both.

COH

Short Answer

Expert verified

The required value of provided angle is180y°.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided angle consists of two angles which are BOCand HOBwhere the HOBis also a mixture of AOBand HOAin which AOBrepresents itself as a right angle and HOAis equal to 180°90°+x+y becauseGC represents a straight line.

02

Step 2. Make an equation.

Using the observation make an equation.

COH=BOC+HOB

03

Step 3. Determine the required value.

Use the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to 90°. The AOBis formed by the provided perpendicular lines so by substituting the value of BOCand HOBinto the obtained equation, determine the value of provided angle.

COH=x+90+18090+x+y=x+90+90x+y=180y°

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