Question

Question:

Answer 1

X+60=2x+4
-x. -x
60=2x+4
-4. -4
56=2x
56/2 =2x/2
x=28


if you have any questions feel free to ask

Answer 2

Answer:

1. $x=56^o$

2. Exterior angle = $116^o$

Step-by-step explanation:

1.

We can see from our given diagram that (2x+4) degrees is the measure of exterior angle of triangle PQR.

Since the measure of exterior angle of a triangle equals to the sum of the opposite interior angles. So measure of our given triangle's exterior angle will be equal to sum of measure of angle P and angle Q.

We can represent this information as:

$(2x+4)^o=60^o+x^o$

$2x^o+4^o=60^o+x^o$

Let us subtract $x^o$ from both sides of our equation.

$2x^o+4^o-x^o=60^o+x^o-x^o$

$x^o+4^o=60^o$

Let us subtract $4^o$ from both sides of our equation.

$x^o+4^o-4^o=60^o-4^o$

$x=56^o$

Therefore, value of x is 56 degrees.

2. Since the measure of exterior angle of our given triangle is 2x+4, let us substitute x=56 in our expression to find the measure of exterior angle.

$\text{Measure of exterior angle}=(2x+4)^o$

$\text{Measure of exterior angle}=(2*56+4)^o$

$\text{Measure of exterior angle}=(112+4)^o$

$\text{Measure of exterior angle}=116^o$

Therefore, the measure of exterior angle of our given triangle is 116 degrees.