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In a parallelogram ∠F : ∠G = 2 : 3 . What is the degree measure of ∠F and ∠G?
  • a)
    72°, 108°
  • b)
    62°, 118°
  • c)
    80°, 100°
  • d)
    90°, 90°
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a parallelogram ∠F : ∠G = 2 : 3 . What is the degree measur...
In a parallelogram, opposite angles are equal. If ∠F : ∠G = 2 : 3, this means that the measure of angle F is twice the measure of angle G.
To find the degree measure of ∠F and ∠G, we can use the following formula:
∠F + ∠G = 180 (degree)
If we know that ∠F = 2x and ∠G = 3x, then we can substitute them into the formula:
2x + 3x = 180
5x = 180
x = 36
Therefore, the measure of angle F is 236 = 72 degrees and the measure of angle G is 336 = 108 degrees.
It's worth noting that, in a parallelogram, opposite angles are supplementary which means that their measures add up to 180 degrees.
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In a parallelogram ∠F : ∠G = 2 : 3 . What is the degree measure of ∠F and ∠G?a)72°, 108°b)62°, 118°c)80°, 100°d)90°, 90°Correct answer is option 'A'. Can you explain this answer?
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