1.) What is m ABC? Show your work. 75 135 с

Question

asked Nov 6, 2022 66.4k views

1 Answer

Shabib · Answer 1 · 2022-11-10T04:42:28+0000

Answer:

$\angle ABC =60$

Explanation:

Given

$\angle CAB = 75$

The attached triangle

Required

Find
$\angle ABC$

First, calculate
$\angle BCA$

$\angle BCA + 135 = 180$ --- angle on a straight line

$\angle BCA = 180 - 135$

$\angle BCA = 45$

$\angle ABC$ is then calculated using:

$\angle ABC + \angle BCA + \angle CAB =180$ -- angle in a triangle

$\angle ABC + 45+ 75=180$

$\angle ABC =- 45- 75+180$

$\angle ABC =60$