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Lines, angles, and triangles SAT question

Math · Geometry and Trigonometry · Medium · Answer it here, explanation included.

In triangle $J K L$ , the measures of $∠ K$ and $∠ L$ are each $4 8^{\circ}$ . What is the measure of $∠ J$ , in degrees? (Disregard the degree symbol when entering your answer.)

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is $84$ . The sum of the measures of the interior angles of a triangle is $18 0^{\circ}$ . It's given that in triangle $J K L$ , the measures of $∠ K$ and $∠ L$ are each $4 8^{\circ}$ . Adding the measures, in degrees, of $∠ K$ and $∠ L$ gives $48 + 48$ , or $96$ . Therefore, the measure of $∠ J$ , in degrees, is $180 - 96$ , or $84$ .

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