Question

Find m DBC in the figure below.

Answer 1

Answer:

angle DBC = 156 degrees

Answer 2

The measure of angle DBC is 156°.

Given:

A figure as shown above.

measure of ∠FBC = 90°

measure of ∠EBC = 24°

To Find:

We want to find the measure of ∠DBC

Solution:

As we can see from the given figure,

DBE is a straight line

⇒ ∠DBE = 180°

Also ∠DBE = ∠FBC + ∠EBC + ∠DBF

⇒ 180 = 90 + 24 + ∠DBF

∠DBF = 180 - 90 - 24

∠DBF = 66

Now, ∠DBC = ∠DBF + ∠FBC

∠DBC = 90 + 66

∠DBC = 156

Thus, the measure of angle DBC will be 156°.

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