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Inga [223]
3 years ago
10

Solve for X Please and thanks

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

<u>Given</u>:

The measure of ∠ABD is (4x + 15)°

The measure of ∠DBC is (13x + 7)°

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property that every angle in a rectangle is 90°

Hence, the value of x can be determined by adding the two angles and equating to  90°

Thus, we have;

\angle ABD+\angle DBC=90^{\circ}

Substituting the values, we have;

4x+15+13x+7=90

              17x+22=90

                      17x=68

                          x=4

Thus, the value of x is 4.

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