In 2 to 4 sentences explain how to find the measures of the two unknown angles. In a quadrilateral, you are given the angles of 95 and 105. The other two angles are in the ratio of 9:7. What are the measures of the two unknown angles?

Answer 1

To find the measures of the two unknown angles in the quadrilateral, first, recall that the sum of all angles in a quadrilateral is 360 degrees. Since you have two known angles measuring 95 and 105 degrees, you can subtract their sum (200 degrees) from 360 degrees to determine the total for the unknown angles (160 degrees). Next, since the unknown angles are in the ratio of 9:7, you can set them as 9x and 7x, create the equation 9x + 7x = 160, and solve for x. Finally, substitute x back to find the measures of each unknown angle: 9x = 90 degrees and 7x = 70 degrees.