Question

In the diagram, m∠BDA = 110°. Find m∠ADC.

Answer 1

Answer:

Measure of angle ADC is 70°

Step-by-step explanation:

So, we know that the overarcing angle BDA equals 110°. And then, we have these two equations that split up this overarcing angle. To solve for x, all we need to do is say is that the sum of these two equations are equal to 110°

2x+10+3x+25=110

Combine like terms

5x+35=110

Subtract 35 from both sides

5x=75

Divide by 5 on both sides

x=15

Now, to find the measure of angle ADC, simply plug 15 in for x on that equation:

3(15)+25

So, the measure of angle ADC is 70°