Given: y || 2 Prove: m25+ m22 + m26 = 180°
1 answer:
Answer:
1. Statement: y || z
Reason: given
2. Statement: m∠1 + m∠2 + m∠3 = m∠LAM
Reason: angle addition postulate
3. Statement: m∠1 + m∠2 + m∠3 =180
Reason: def. of a straight angle
4. Statement: ∠1 ≅∠5
Reason: alternate interior angles theorem
5. Statement: ∠3 ≅∠6
Reason: alternate interior angles theorem
6. Statement: m∠1 = m∠5
Reason: def. of ≅
7. Statement: m∠3 = m∠6
Reason: def. of ≅
8. Statement: m∠5 + m∠2 + m∠6 = 180
Reason: substitution
Step-by-step explanation:
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Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,
Where, l is length and w is width.
Substituting the values, we get
Subtract 20 from both sides.
Divide both sides by
So, the length is
Therefore, the length of the rectangle is 13 cm.