Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

quadrilaterals quiz geometry part 3 ae teacher (acc ed) / quadrilateral…

Question

quadrilaterals quiz geometry part 3 ae teacher (acc ed) / quadrilaterals 3. solve for ( mangle b ).

Explanation:

Step1: Identify trapezoid properties

This is an isosceles trapezoid (AD = BC, AB || DC). In an isosceles trapezoid, consecutive angles between the bases are supplementary.

Step2: Calculate $m\angle B$

Since $\angle B$ and $\angle C$ are consecutive angles between the bases AB and DC, their sum is $180^\circ$.
$m\angle B = 180^\circ - m\angle C$
$m\angle B = 180^\circ - 110^\circ$

Answer:

$70^\circ$