Question 1210458: Find angle x, in degrees.
the angles of a triangle are x, 80, and 88.
Note: We say that a line bisects an angle if it splits it into two equal parts.
Found 3 solutions by ikleyn, CPhill, josgarithmetic:
Answer by ikleyn(53763)   (Show Source):
You can put this solution on YOUR website! .
Find angle x, in degrees.
the angles of a triangle are x, 80, and 88.
Note: We say that a line bisects an angle if it splits it into two equal parts.
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(1) x = 180 - 80 - 88 degrees.
(2) the last line in the "condition" is irrelevant to the problem.
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The answer x = 22 in the post by @josgarithmetic is an ERROR.
Ignore his post for the peace in your mind.
Answer by CPhill(2189)  (Show Source):
You can put this solution on YOUR website! The value of angle $x$ is **12 degrees**.
## 📐 Calculation
The sum of the interior angles in any triangle is always **$180^\circ$**.
You are given the three angles of the triangle as $x$, $80^\circ$, and $88^\circ$.
$$x + 80^\circ + 88^\circ = 180^\circ$$
1. **Sum the known angles:**
$$80^\circ + 88^\circ = 168^\circ$$
2. **Solve for $x$:**
$$x + 168^\circ = 180^\circ$$
$$x = 180^\circ - 168^\circ$$
$$x = 12^\circ$$
Therefore, angle $x$ is **$12$ degrees**.
Answer by josgarithmetic(39799)  (Show Source):
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