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A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The
carpenter knows that m ADC is a right angle and that m BDC is 34° greater than m ADB . Solve an
equation to find m BDC and m ADB .

Whats BDC and ADB

Respuesta :

nobillionaireNobley
Given that the measure of angle ADC = 90 degrees.
Notice that m<ADC = m<ADB + m<BDC

Let the measure of angle ADB be x degrees, then given that m<BDC is 34 degrees greater than m<ADB, thus, m<BDC = x + 34

Hence,
m<ADC = m<ADB + m<BDC
90 = x + x + 34 = 2x + 34
2x = 90 - 34 = 56
x = 28

Therefore, m<ADB = 28 degrees and m<BDC = 28 + 34 = 62 degrees.