Question

The measures of the angles of abc are given by the expression in the table

Answer 1

∠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°