How many degrees is angle x?
A normal-level "Angle" problem."Exterior angle = sum of the two non-adjacent interior angles." Star and boomerang angle problems fall apart instantly with this.
GivenSide BC is extended beyond C
Hints
- Angle C and angle x sit side by side on line BC, forming a straight line.
- Taking them out and lining them up: ∠C + x = 180°. That is the first equation.
- Now switch attention to the three angles inside the triangle.
- Cut those out and line them up too — also a straight line. 35° + 48° + ∠C = 180°. That is the second equation.
- Compare the two lines. Both are 180°, and both contain the same ∠C.
- Remove ∠C from both and the remainders must be equal: x = 35 + 48. This is the rule "an exterior angle equals the sum of the two non-adjacent interior angles".
Answer 83°
More "Angle" problems
- How big is angle x?
- How many degrees is angle x?
- What is A＋B＋C＋D＋E?
- How big is angle BIC?
- How many degrees is angle x?
- How many degrees is angle x?