Answer: ∠A=125° and ∠B=35°
Step-by-step explanation:
Given: The measures of the angles of △ABC are given by the expressions
∠A = (6x−1)°
∠B =20°
∠C= (x + 14)°
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°
