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n the figure, BA = AD = DC and point D is on segment BC. The measure of angle ACD is 25 degrees. What is the measure of angle ABC?

Guest Dec 17, 2021

jugoslav · Answer 1 · 2021-12-17T04:44:01

Angle ABC = 60 degrees

geno3141 · Answer 2 · 2021-12-17T04:46:45

Since AD = DC, angle(DAC) = angle(DCA) = 25^o.

This means that angle(ADC) = 180^o - 25^o - 25^o = 130^o.

So, angle(BDA) = 180^o - 130^o = 50^o.

Since BA = AD, angle(ABC) = 50^o.

Notice that angle(ABD) is twice as large as angle(ACD). Will this always be true?