The sum of the measures of the interior angles of a triangle is 180 °. the measure of the 1st angle is 15 ° less than the 2nd. the measure of the 3rd angle is 45 ° more than half of the second. find the measure of e/ interior angle of the triangle.

1st angle (x): x - 15

2nd angle (y): x

3rd angle (z): x + 45

The sum of the interior angles of a triangle equals 180°

1st angle + 2nd angle + 3rd angle = 180

x - 15 + x + x + 45 = 180

2x + 30 + x = 180 (added like terms on left side)

2x + x = 150 (subtracted 30 from both sides)

4x + x = 300 (multiplied all terms by 2 to eliminate the denominator)

5x = 300 (added like terms on left side)

x = 60 (divided by 5 on both sides)

1st angle (x): x - 15 → (60) - 15 = 45

3rd angle (z): x + 45 → (60) + 45 → 30 + 45 = 75

45°, 60°, 75°

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

it is 28 degrees colder in detroit than philadelphia.

step-by-step explanation:

what number adds to 21

-7 + ? = 21

-7 + 28 = 21

hope it