Answer:
44° and 99°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Subtract the 2 given angles from 360° to find the remaining sum
360° - (63 + 154)° = 360° - 217° = 143°
The 2 angles which sum to 143° are in the ratio 4 : 9
sum the parts of the ratio, 4 + 9 = 13 parts , then
143° ÷ 13 = 11° ← value of 1 part of the ratio, so
4 parts = 4 × 11° = 44°
9 parts = 9 × 11° = 99°
The other 2 angles are 44° and 99°
