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Help me with this question please !!

Help me with this question please !!-example-1
User Sulli
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1 Answer

3 votes

Answer:

  • ∠1 = 33°
  • ∠2 = 47°

Explanation:

You want to know the measure of angle 1 given that angle 2 is 14° more and their total is 80°.

Angle sum theorem

The angle sum theorem tells you the whole is equal to the sum of the parts.

∠1 +∠2 = ∠ABD

Using the given values, we have ...

∠1 +(∠1 +14°) = 80°

2×∠1 = 66° . . . . . . . . . subtract 14°

∠1 = 33° . . . . . . . . divide by 2

∠2 = 33° +14°

∠2 = 47°

User Shikhar Varshney
by
8.6k points

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