Question

in the diagram, ab and ec are perpendicular. $angle heb=(9x)^{circ}$ and $mangle ceh=(19x + 6)^{circ}$, then the value of x is

Explanation:

Step1: Use perpendicular - angle property

$\angle CEH+\angle HEB = 90^{\circ}$

Step2: Substitute angle expressions

$(19x + 6)+9x=90$

Step3: Combine like - terms

$19x+9x+6 = 90$
$28x+6 = 90$

Step4: Solve for x

$28x=90 - 6$
$28x=84$
$x = 3$

Answer:

$3$