The answer is 20 in2 because the two triangles are congruent
The answer is D. 42
A triangle equals 180 in total so what you would do it subtract 122 from 180 because 180 is also the angle of a straight line. You would get 58 then you add 58 and 80 to get 138. Subtract 138 from 180 and you get your answer of 42
Answer:
m<1 = 26°
m<2 = 154°
m<3 = 26°
m<4 = 26°
m<5 = 154°
m<6 = 154°
m<7 = 26°
Step-by-step explanation:
What is required was not stated, however, let's find the value of every angle labelled in this diagram.
✔️m<1 = 180° - 154° (linear pair theorem)
m<1 = 26°
✔️m<2 = 154° (vertical angles theorem)
m<2 = 154°
✔️m<3 = m<1 (vertical angles theorem)
m<3 = 26° (substitution)
✔️m<4 = m<3 (alternate interior angles theorem)
m<4 = 26° (substitution)
✔️m<5 = m<2 (alternate interior angles theorem)
m<5 = 154° (substitution)
✔️m<6 = m<5 (vertical angles theorem)
m<6 = 154° (substitution)
✔️m<7 = m<4 (vertical angles theorem)
m<7 = 26° (substitution)
Answer:
x = -8
Step-by-step explanation:
1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.
2. Given the above information, that means x + 96 + 100 + x = 180.
3. (Solving for equation above)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 196 from both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, x = -8.
