50
Step-by-step explanation:
Step 1: Recognizing that we have an isosceles triangle
This is an isosceles triangle because it has two congruent sides(two sides with a length of 7). The angles across from the congruent sides are also congruent, so the angle without a label measures x∘
x, degrees:
Hint #22 / 4
Step 2: Writing an equation
The three angles in a triangle add up to 180 180 ∘
180, degrees. We can write this as an equation:
x + x + 80 = 180∘
+x ∘
+80 ∘
=180 ∘
x, degrees, plus, x, degrees, plus, 80, degrees, equals, 180, degrees
Hint #33 / 4
Step 3: Solving for x
x+x+80
2x+80
2x+80−80
2x
2
2x
x
=180
=180 Simplify the left-hand side
=180−80 Subtract 80 from each side
=100
=
2
100
Divide each side by 2
=50
Hint #44 / 4
The answer
x = 50