From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.
x+100+x=180
x=the base angle measures since they are congruent.
100+x+x=180
Community Property of Addition
100+2x=180.
Added x+x as like terms to = 2x.
100-100+2x=180-100
Subtraction of 100 from both sides to cancel it out and move it.
2x=80
Subtraction operation
2x/2=80/2
Divided by 2 to cancel it out on both sides and move it.
x=40°.
Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.
2(40)+100=80+100=180.
So x=40
Answer:
7.845 Hope this helps! :)
Step-by-step explanation:
Answer:
20 x 1 / 18= 1.11
Step-by-step explanation:
Answer:
A = -2,3 B= -1,1 C= -4,0
Step-by-step explanation:
On the bottom, you subtract the 5 from the x's which gives you -2, -1, and -4. but for your y's when you add them.
the equation for the angles will be 180=132+2x where x is one of the smaller angles so this makes it into 48=2x or x=24 meaning that each of the smaller angles are 24