Answer:
[tex]\huge\boxed{110}[/tex]
Step-by-step explanation:
We can solve for m∠A by using angle relationships to find it's value.
It's important to note first: m∠BCD and m∠BCA are supplementary. This means that their angle measurements will add up to 180°.
We already know m∠BCD so we can find m∠BCA by subtracting it's measurement from 180.
[tex]180-130=50[/tex]
So m∠A = 50 degrees.
Now, we also know that all angles in a triangle add up to 180°. Since we already know the measures of ∠B and m∠BCA, we can find the measure of m∠A by adding up what we know and subtracting from 180.
[tex]50+20=70\\\\180-70=110[/tex]
So m∠A is 110 degrees.
Hope this helped!
