Based on the information on the diagram, what is the measure of angle adc?

73°

Step-by-step explanation:

Given: BD=BE

           ∠DBE= 50°

            ∠EAC= 42°

           DE//AC and AE=CD

Attach is the new drawn diagram with M point.

∵ we know BD=BE, ∴ ∠BDE=∠BED= x ( taking x as unknown angle)

Remember, sum of triangle= 180°

Now, ∠BDE+∠BDE+∠DBE= 180°

⇒  

⇒

Subtracting both side by 50, then dividing both side by 2

∴ °

We know, ∠MAC= ∠MCA= 42° (∵AM=MC)

Next, ∠EDC=DCA= 42° ( ∵ Alternate interior angle as we know DE//AC )

Now, we have ∠EDC= 42°, ∠BDE= 65°

∴ ° (∵sum of straight line= 180°)

⇒ °

⇒°

Subtracting both side by 107

∴∠ADC= °

∴∠ADC= 73°

x=4

step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.