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Chapter 2: Q16. (page 59)

In the figure BF↔⊥AE↔, m∠BOC=x, and m∠GOH=y. Express the measure of the angle in terms of x, y, or both.

∠HOF

Short Answer

Expert verified

The required value of the provided angle isx+y°.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided angle consists of two angles which are∠GOF and∠HOG where the∠GOF is present in vertical opposite side of∠BOC.

02

Step 2. Make an equation.

Using the observation make an equation.

∠HOF=∠GOF+∠HOG

03

Step 3. Determine the required value.

As the ∠GOFis present in the vertical opposite side of ∠BOCwhich means that ∠GOFcan be replaced with ∠BOCby substituting the value of ∠BOCand ∠HOGinto the obtained equation, determine the value of the provided angle.

∠HOF=x+y°

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