Question

y: concepts and connections (27.0821000) yl ic (spring)
complementary and supplementary angles
assignment active
finding an angle measure
what is the measure of $angle cbe?$
$\bigcirc$ $36^circ$
$\bigcirc$ $72^circ$
$\bigcirc$ $108^circ$
$\bigcirc$ $144^circ$
$(3x)^circ$
$(2x)^circ$

Explanation:

Step1: Use paralleloragram consecutive angles rule

$3x + 2x = 180$

Step2: Solve for x

$5x = 180 \implies x = \frac{180}{5} = 36$

Step3: Calculate $\angle CBE$

$\angle CBE = 3x = 3 \times 36$

Answer:

72°