Question

∆ABC is an isosceles triangle in which angles B and C are congruent.

Answer 1

The correct answer is 96
4x+10=x+343x+10=343x=24x=8
B = (4x + 10)   = 4(8) + 10   = 32+10 = 42B = m∠ C = 42A = 180 - 2(42)A = 180 - 84A = 96

Answer 2

Since B and C are congruent, that means that 4x+10=x+34. Using the addition property of equality, I challenge you to solve for x! After you do that, you can note that all the angles in a triangle add up to 180, so 4x+10+x+34+angleA=180. When you find x, you can substitute that in.

If you need help with the addition property of equality for variables, here's an example - 5x+23=4x+3. Subtracting 3 from both sides, we get 5x+20=4x. Next, we can subtract 5x from both sides to get -x=20 and divide both sides by -1 to get x=-20.

Good luck, and feel free to ask with any questions!