sat suite question viewer

Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Medium

In triangle $J K L$ , the measures of $∠ K$ and $∠ L$ are each $48 degree$ . What is the measure of $∠ J$ , in degrees? (Disregard the degree symbol when entering your answer.)

Back question 24 of 79 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79

Explanation

The correct answer is $84$ . The sum of the measures of the interior angles of a triangle is $180 degree$ . It's given that in triangle $J K L$ , the measures of $∠ K$ and $∠ L$ are each $48 degree$ . Adding the measures, in degrees, of $∠ K$ and $∠ L$ gives $48 plus 48$ , or $96$ . Therefore, the measure of $∠ J$ , in degrees, is $180 minus 96$ , or $84$ .