The measure of angle x is 64°.
Solution:
Given JK and HI are parallel lines.
m∠K = 60°, m∠H = 56°, m∠A = x°
If two lines are parallel, then the corresponding angles are congruent.
⇒ m∠I = m∠K
⇒ m∠I = 60°
Sum of the angles of a triangle = 180°
⇒ m∠I + m∠H + m∠A = 180°
⇒ 60° + 56° + x° = 180°
⇒ 60° + 56° + x° = 180°
⇒ 116° + x° = 180°
Subtract 116° from both sides of the equation.
⇒ x° = 64°
The measure of angle x is 64°.
