Question

linear pairs are supplementary and = 180 degrees.
8 read and solve the problem below:
∠1 and ∠2 form a linear pair. if m∠1 = (4x - 1)° and m∠2 = (9x - 14)°, find m∠2.
a) 124° superhero capes
b) 121° giant sunglasses
c) 118° princess dresses
d) 59° pom - poms
e) 31° football helmets

Explanation:

Step1: Sumar ángulos = 180°

$(4x - 1) + (9x - 14) = 180$

Step2: Simplificar ecuación

$13x - 15 = 180$

Step3: Despejar $x$

$13x = 195 \implies x = \frac{195}{13} = 15$

Step4: Calcular $m\angle2$

$m\angle2 = 9(15) - 14 = 135 - 14$

Answer:

B) $121^\circ$ giant sunglasses