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Chapter 3: Q16. CUR (page 114)

In the diagram AB↔bisects ∠DHF,AB↔⊥GH¯,AB↔∥CD↔, and m∠AHD=60∘. Find the measure of each angle.

∠FHG

Short Answer

Expert verified

The angle ∠FHG is30∘

Step by step solution

01

Step 1. Observe the diagram.

Here, ∠AHD=60∘,AB↔⊥GH¯,AB↔∥CD↔and AB↔bisects ∠DHF.

02

Step 2. Show the calculation.

From the figure,

AB↔bisects ∠DHF

∠AHD=∠AHF=60∘∠AHG=∠AHF+∠FHG90∘=60∘+∠FHG∠FHG=30∘

Hence the angle∠FHG=30∘

03

Step 3. State the conclusion.

Therefore, ∠FHG=30∘.

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