Question

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure

Answer 1

First You add all given angles up to equal 180 to give you x then you plug x into equations
A= 125 degrees
C= 35 degrees

Answer 2

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°