Question

GEOMETRY HELP PLEASE! Thank you. A quadrilateral has two angles that measure 80° and 150°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?

Answer 1

Answer:

23.6 and 106.4

Step-by-step explanation:

Answer 2

Answer: 20° and 110°
explanation: quadrilaterals must add up to 360° so in order to find out the total of the other two angles, subtract both of the given angles from the total 360.
360 - 80 - 150 = 130
you then take the ratio and add the two numbers
2 + 11 = 13
next you would divide the total of the two unknown angles by this number.
130/13 = 10
lastly, to get each angle, you would multiply each side of the original ratio
2 x 10 = 20
11 x 10 = 110
to double check, you would all four angles to make sure it equals 360
150 + 80 + 20 + 110 = 360