The measures of the unknown angles are as follows:
- ∠1 = 27
- ∠2 = 97°
- ∠3 = 56°
- ∠4 = 27°
- ∠5 = 56°
<h3>How to find the measures of angles?</h3>
When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles etc.
The parallel lines are line m and line l . The parallel lines m and l are cut by two transversals.
Therefore, the measures of the unknown angles are as follows:
∠1 = 27°(vertically opposite angles)
∠1 = ∠4(alternate angles)
∠4 = 27°
Alternate angles are congruent. Vertically opposite angles are congruent.
Therefore,
∠1 + ∠2 = 124
27 + ∠2 = 124
∠2 = 124 - 27
∠2 = 97°
∠3 = 180 - ∠2 - ∠1 (sum of angles on a straight line)
∠3 = 180 - 97 - 27
∠3 = 56°
∠5 = 180 - ∠4 - ∠2
∠5 = 180 - 97 - 27
∠5 = 56°
learn more on angles here: brainly.com/question/14684647
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0, scalene triangle. none of the sides are the same length
The area of the triangle is a rational number,
since both its base and its height are.
Answer:
Step-by-step explanation:
When multiplying fractions, you multiply the numerators together and denominators together. This means that the problem above can be rewritten as, 
. Then, multiply this out to get 
. However, this fraction can be simplified by dividing the numerator and denominator by 2. This gives the final answer, .
Answer:
-4 <u>+</u> 2*sqrt(5)
Step-by-step explanation:
2x^2+16x-8=0
Factor out the 2: 2(x^2+8x)-8=0
Add (b/2)^2 = (8/2)^2 = 16
2(x^2+8x+16)-8 = 0 + 2*16
2(x+4)^2=40
(x+4)^2=20
x+4=<u>+</u>sqrt(20)
x=-4<u>+</u>sqrt(20) = -4 <u>+</u> 2*sqrt(5)
