30.3k views
3 votes
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter

135° Solve for <2. 62 = [?] 45° &2 86° Enter-example-1
User Monae
by
8.2k points

2 Answers

6 votes

Answer:


\displaystyle \angle2 = {49}^( \circ)

Explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is


\displaystyle \angle2 + {86}^( \circ) = {135}^( \circ)

cancel out 86° from both sides:


\displaystyle \angle2 = {49}^( \circ)

hence,

the measure of the missing angle is 49°

User Enjoyted
by
8.3k points
4 votes

Answer:

Solution given'

<2+45+86=180°[sum of interior angle of a triangle]

<2=180-131

<2=49°

User Jbp
by
8.7k points

Related questions

asked Nov 3, 2022 47.1k views
Covi asked Nov 3, 2022
by Covi
8.2k points
2 answers
0 votes
47.1k views
asked Nov 18, 2024 82.8k views
Fred Basset asked Nov 18, 2024
by Fred Basset
8.2k points
1 answer
2 votes
82.8k views