10. The sum of the two angles of a quadrilateral is
145º. The other two angles are in the ratio 2 : 3.
Find the angles.
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Answer:
The other two angles measure 86° and 129°
Step-by-step explanation:
Let other two angles of the quadrilateral be 2x and 3x.
Sum of all angles of a quadrilateral = 360°
⇒ (Sum of 2 angles) + (2x+3x) = 360°
⇒ 145° + 5x = 360°
⇒ 5x = 360-145
⇒ x = 215÷5
⇒ x = 43°
∴ the two angles measure 86° (43*3) and 129° (43*4).
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