Question

Two angles of a quadrilateral are 53degree and 67degree and the remaining two angles are in the ratio 2:3. find the measure of each angles of the two angles.​

Answer 1

Answer:

Unknown angles are 95.6° and 143.4° respectively.

Step-by-step explanation:

let the two unknown angles be 2X and 3X respectively.

Sum of angles of a quadrilateral is equal to 360°

So, 2X+3X+54+67 = 360

5X+121 = 360

5X = 360-121

5X = 239

X = 239/5

X = 47.8

2X = 47.8*2 = 95.6

3X = 47.8*3 = 143.4

Unknown angles are 95.6° and 143.4° respectively.

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