Answer:
10°, 35°
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°. This can be used with the angle ratio to find the unknown angles.
Setup
The sum of the two unknown angles, x and y, can be found from the total angle measure in a quadrilateral:
x + y + 170 + 145 = 360
x + y = 45 . . . . . . . . . . . . . subtract 315 from both sides
The ratio of the two angles is ...
x/y = 2/7
7x = 2y . . . . . . cross multiply
Solution
Multiplying the first equation by 2 and substituting for 2y gives ...
2(x +y) = 2(45)
2x +7x = 90
x = 10 . . . . . . . . . divide by 9
y = 45 -10 = 35 . . . . find y
The measures of the other two angles are 10° and 35°.
