Question

In given figure, the measure of ∠BAC is​

Answer 1

Answer:

your answer will be 55.

Step-by-step explanation:

as we know the sum of triangle is 180

therefore, 50+2x+20=180

2x+70=180

2x=180-70

x=110/2

x=55

Answer 2

Solution:

Observe the figure given in the question.

$\[{\rm{AC = CB}}\]$

Therefore,

$\[\angle BAC = \angle CBA\]$

Know that angles on the equal sides of the triangle are equal to each other.

Find the value of x.

$\[\begin{array}{l}2x + {20^ \circ } = {50^ \circ }\\ \Rightarrow 2x = {50^ \circ } - {20^ \circ }\\ \Rightarrow 2x = {30^ \circ }\\ \Rightarrow x = {15^ \circ }\end{array}\]$

Find the measure of $\[\angle BAC.\]$

$\[\begin{array}{l}\angle BAC = 2x + {20^ \circ }\\ \Rightarrow \angle BAC = 2 \times 15 + {20^ \circ }\\\angle BAC = {50^ \circ }\end{array}\]$

Hence, the measure of $\[\angle BAC\]$ is $\[{50^ \circ }\]$