if two equal angles of a quadrilateral are 70° is and other two angles are in the ratio 5 is to 17 what is the measure of each of these two angles
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Answer:
sum of 2 angles=70x2:140
sum of other 2 angles = 360-140
=220
Ratio -5:17
220x5/22 = 50 degree(i) Ans
220x17/22=.170 degree (2) Ans
Answered by
0
Answer: 25° and 85°
Step-by-step explanation: A triangle has an angle that measures 70°. The other two angles are in a ratio of 5:17. What are the measures of those two angles?
70° + 5n + 17n = 180°
70° + 22n = 180° Combine like terms
22n = 180° − 70° Subtract 70° from both sides
22n = 110° Simplify
n = 5° Divide both sides by 22
Now plug in n = 5° to find the measures of the angles.
5n and 17n
5 × 5° and 17 × 5°
25° and 85°
So, the measures of the two angles are 25° and 85°.
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