Question

find ( mangle e ) in parallelogram ( efgh ).
( mangle e = square^circ )

Explanation:

Step1: Use parallelogram consecutive angles property

Consecutive angles in a parallelogram are supplementary, so:
$$(2b-63) + (b-1) = 180$$

Step2: Simplify and solve for $b$

Combine like terms and isolate $b$:
$$3b - 64 = 180$$
$$3b = 180 + 64$$
$$3b = 244$$
$$b = \frac{244}{3}$$

Step3: Calculate $m\angle E$

Substitute $b$ into $2b-63$:
$$m\angle E = 2\times\frac{244}{3} - 63 = \frac{488}{3} - \frac{189}{3} = \frac{299}{3}$$

Answer:

$\frac{299}{3}$ or approximately $99.67$