The measures of the angles of △abc are given by the expressions in the table. angle measure
a (6x−1)°
b 20°
c (x + 14)°
what are the measures of angles a and c? enter your answers in the boxes.
m∠a= º
m∠c= º

∠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°

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

boxplot e is the answer