A triangle has angles 40° and 70°. Find the third angle.

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Multiple Choice

A triangle has angles 40° and 70°. Find the third angle.

Explanation:
In any triangle, the interior angles add up to 180 degrees. Add the two known angles: 40° and 70° to get 110°. The third angle must make the total 180°, so it’s 180° − 110° = 70°. Check: 40° + 70° + 70° = 180°, which confirms it. The other choices wouldn’t work because they would give totals different from 180° (for example, 40° would sum to 150°, 60° to 170°, and 110° to 220°). Only 70° satisfies the angle-sum rule.

In any triangle, the interior angles add up to 180 degrees. Add the two known angles: 40° and 70° to get 110°. The third angle must make the total 180°, so it’s 180° − 110° = 70°. Check: 40° + 70° + 70° = 180°, which confirms it.

The other choices wouldn’t work because they would give totals different from 180° (for example, 40° would sum to 150°, 60° to 170°, and 110° to 220°). Only 70° satisfies the angle-sum rule.

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