Answer:
a). x = 12
b). m∠H = 90°
m∠I = 58°
m∠J = 62°
Step-by-step explanation:
a). Use the property of a triangle,
" Sum of all the angles in a triangle is 180°"
(2x + 34)° + (4x + 14)° = 180°
(2x + 4x) + (34 + 14) = 180
6x + 48 = 180
6x = 180 - 48
6x = 132
x = [tex]\frac{132}{6}[/tex]
x = 12
b). m∠H = 90° [Given]
m∠I = (2x + 34)° = [(2 × 12) + 34]°
m∠I = 58°
m∠J = (4x + 14)° = [(4 × 12) + 14]°
m∠J = 62°