Question

If the measure of angle 1 is (3x-4)º and the measure of angle 2 is (4x+10), what is the measure of angle 2 in degrees?

Answer 1

Answer:

Angle 2 measures 58°

Step-by-step explanation:

Sum of all three angles formed = 180

Because the sum of angles on a straight line is always 180

Angle 1 =3x-4

Angle 2 = 4x+10

Angle 3= 90° (given)

So,

90+3x-4+4x+10=180

(4x+3x)+(90+10-4)= 180

7x+96=180

Bring 96 to the other side, making it negative,

7x = 180-96 = 84

x = 12

Therefore angle 2

= 4x+10

= (4)(12)+10

=48+10

=58°