Two angles of a quadrilateral measure 75° and 145°. The other two angles are in a ratio of 13:15. What are the measures of those two angles?
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Answer:
65 and 75 are the two other two angles.
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360 degrees.
>> 145 + 75 + 13x + 15x= 360
(sum of angle in a quadrilateral is 360)
>> 220 + 28x = 360
>> 360 - 220 = 28x
>> 28x = 140
>> x = 140 / 28
>> x = 5
>> the other two angles are
>> 5 × 13 = 65
>> 5 × 15 = 75
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