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The sum of two opposite angles of a parallelogram is 130°. What is the difference between largest and smallest angle of parallelogram?
- a)65°
- b)50°
- c)115°
- d)100°
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of two opposite angles of a parallelogram is 130°. What is...
Here ABCD is a parallelogram and ∠A + ∠C = 130°
∠B = ∠D = 115°
Difference = 115° - 65° = 50°
∠B = ∠D = 115°
Difference = 115° - 65° = 50°
Most Upvoted Answer
The sum of two opposite angles of a parallelogram is 130°. What is...
Let's call the two opposite angles of the parallelogram A and B. Since opposite angles of a parallelogram are congruent, we know that A = B. The sum of these two angles is 130, so we can set up the equation A + B = 130. Since A = B, we can substitute A for B in the equation, giving us A + A = 130. Simplifying this equation, we have 2A = 130. Dividing both sides of the equation by 2, we find that A = 65. Since A = B, we know that B = 65 as well. Therefore, the measure of each of the two opposite angles of the parallelogram is 65 degrees.
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The sum of two opposite angles of a parallelogram is 130°. What is the difference between largest and smallest angle of parallelogram?a)65°b)50°c)115°d)100°Correct answer is option 'B'. Can you explain this answer?
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