Question

Help geometry plzzzzzzzzzzzzzzzzzzzzzz.

Answer 1

(2x+9)+(3x+1)=180
5x+10=180
5x=170
x=34
angle A=2x+9
            =2(34)+9
            =77

Answer 2

Because the quadrilateral is inscribed in a circle, the opposite angles will add up to 180°.  Because of this, we can set up this equation:

2x + 9 + 3x + 1 = 180

Now, we can solve for x.  First, we should combine like terms.  Now, the equation is:

5x + 10 = 180.

Now, we need to get x on its own side.  We do this by subtracting 10 from both sides.

5x = 170.

Finally, we can divide both sides by 5 to figure out what x is.

x = 34

In order to finish the problem, we just need to substitute this back into the expression for a.

2*34 + 9 = 68 + 9 = 77, so angle a is 77°.