Question

in a geometric figure two intersecting lines creating four angles. if 1 and 3 are a vertical pair. m 1 = (4x + 26) and m 3 = 98, wht is the value of x

Answer 1

Vertical angles are congruent, so m∠1 = m∠3. Set the expressions equal and solve:

4x + 26 = 98
4x = 72
x = 18

Check: 4(18) + 26 = 72 + 26 = 98. So x = 18.