Answer:
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<h3>Given</h3>
- Two parallel lines,
- Included triangle between the parallel lines,
- Two interior angles of the triangle are m and n,
- Another angle of 40°.
<h3>To find </h3>
- The sum of angles m and n
<h3>Solution</h3>
As per given, the missing interior angle is corresponding with 40° angle.
Since corresponding angles are equal, the third interior angle of the triangle is 40°.
Sum of three interior angles is 180°:
- m + n + 40 = 180
- m + n = 180 - 40
- m + n = 140
Answer: A OR E
Step-by-step explanation:
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Answer:
Step-by-step explanation:
Y= 5/2x+5. :D
the answer to this problem is your answer is 24inches your welcome
