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Triangle Sum Theorem CLASSWORK

Step-by-step explanation:
Sum of angles in a triangle = 180°.
Question 3:
We have 90° + 61° + (14x + 1)° = 180°.
=> 14x° + 152° = 180°
=> 14x° = 28°
=> x = 2.
Question 4:
We have 70° + 55° + (4x + 3)° = 180°.
=> 4x° + 128° = 180°
=> 4x° = 52°
=> x = 13.
Answer:
[tex](14x + 1) + 90 + 61 = 180 \\ 14x + 152 = 180 \\ 14x = 28 \\ \boxed{x = 2}[/tex]
[tex](4x + 3) + 55 + 70 = 180 \\ 4x + 128 = 180 \\ 4x = 52 \\ \boxed{x = 13}[/tex]