Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2b. solve for x m∠qhi = 25x, m∠ghq = 18x + 3 and m∠ghi = 175°

Question

2b. solve for x
m∠qhi = 25x,
m∠ghq = 18x + 3
and m∠ghi = 175°

Explanation:

Step1: Usar la suma de ángulos

$m\angle QHI + m\angle GHQ=m\angle GHI$
$25x+(18x + 3)=175$

Step2: Simplificar la ecuación

$25x+18x+3 = 175$
$43x+3 = 175$

Step3: Despejar x

$43x=175 - 3$
$43x=172$
$x=\frac{172}{43}$
$x = 4$

Answer:

$x = 4$