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Sphinxa [80]
2 years ago
15

If m∠ADB=(6x−4)° and m∠BDC=(4x+24)°, find the value of x such that ∠ADC is a right angle.

Mathematics
1 answer:
spayn [35]2 years ago
8 0

To make ∠ADC is a right angle, value of x will be 7.

From given figure, it is observed that Angle ADC is combination of two angles ADB and BDC.

                ∠ADC=∠ADB+∠BDC

Since, ∠ADC is right angle.

 So,  ∠ADC=90 degree

       90=∠ADB+∠BDC

     6x-4+4x+24=90\\     10x+20=90\\      10x=70\\       x=7

Learn more:

brainly.com/question/20158593

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