With this rule, we can write an equation connecting the expressions of the angles of our triangle.
t^(∘)+ (t+10)^(∘)+ (t+20)^(∘)=180^(∘)
Let's solve the equation and find the value of t. For simplicity, we will not write the degree symbol.
The measure of one of the angles is 50^(∘). To find the others missing measures, we will substitute t= 50 in the expressions for the remaining angles, (x+10)^(∘) and (t+20). Once again, we will remove the degree symbol for the calculation.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
We will now identify the exterior angle and the two nonadjacent interior angles.
We can see that the measure of the exterior angle is b^(∘) and the measures of the nonadjacent interior angles are 50^(∘) and 60^(∘). By the Exterior Angle Measures of a Triangle Theorem, we can write an equation in terms of b.
b^(∘)= 50^(∘)+ 60^(∘)
Let's solve the equation! For simplicity, we will not write the degree symbol while solving.
