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  • 20-01-2021
  • Mathematics
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  • 20-01-2021

Answer:

The measure of the angle ABD is:

m∠ABD = 122°

Step-by-step explanation:

Given

m∠ABC = 84°

m∠CBD = 38°

To determine

Find m∠ABD

The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.

In other words,

m∠ABD = m∠ABC + m∠CBD

substituting m∠ABC = 84° and m∠CBD = 38°

m∠ABD = 84° + 38°

m∠ABD = 122°

Therefore, the measure of the angle ABD is:

m∠ABD = 122°

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