37.2k views
1 vote
The measures of the angles of abc are given by the expression in the table

The measures of the angles of abc are given by the expression in the table-example-1
User Thlgood
by
7.8k points

1 Answer

5 votes

Answer:

∠A=125° and ∠B=35°

Explanation:

We know that, by angle sum property of triangles,

∠A +∠B+∠C=180°

⇒​ (6x−1)° ​+20° +(x + 14)°=180°

⇒​ 6x−1 ​+20 +x + 14=180 [Open parenthesis]

⇒7x+33=180

⇒7x=180-33 [Subtracting 33 from both sides]

⇒7x=147

⇒x=21 [Divide 7 from both sides]

Now substitute value of x in the expressions of ∠A and ∠B.

Therefore, ∠A=(6(21)-1)°=(126-1)°=125°

∠B=(21+14)°=35°

User Iladarsda
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories