1) Measure of one angle of a parallelogram is 80*. What are the measures of the remaining angles? 2) The perimeter of a rhombus is 40cm, one of it's diagonals is 12cm. Find the length of the other diagonal.
Answers
Answer:
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Answer:
Hey mate, this is the answer.
Step-by-step explanation:
1.▶⏩ Let the given angle = angle A= 80°.
=> We know that:-)
↪➡ The sum of adjacent angles of parallelogram is 180°.
↪➡ angle A + angle B = 180°.
↪➡ 80° + angle B = 180°.
↪➡ angle B = 180° - 80°.
↪➡ angle B = 100°.
=> We know that:-)
↪➡ Opposite angles of parallelogram are equal.
↪➡ angle A = angle C.
↪➡ angle C = 80°.
▶⏩ Now,
↪➡ angle B = angle D.
↪➡ angle D = 100°.
✔✔ Hence, all angles are :-)
=> angle A = 80°.✅✅
=> angle B = 100°.✅✅
=> angle C = 80°.✅✅
=> angle D = 100°.✅✅
⤴⤴⤴⤴⤴⤴⤴⤴⤴⤴⤴⤴⤴⤴
2. The perimeter of a rhombus is 40 cm. So each side is 10 cm.
One diagonal is 12 cm, so half that length is 6 cm.
The other diagonal = 2[10^2–6^2]^0.5
= 2[100–36]^0.5
= 2[64]^0.5
= 2*8
= 16 cm.
☺☺☺ Hope it is helpful for you ✌✌✌.
Pls mark me as the brainliest.