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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Answer:
2x - 4
Step-by-step explanation:
x + 10 + x - 14
2x + 10 - 14
2x - 4
Rectangular prism and cylinder
Answer:
165 students (hope it helps)
Step-by-step explanation:
300students - 45students = 255students
180students + 150students = 330students
330students / 2 = 165
Answer:
2 students are in both clubs
Step-by-step explanation:
x = 1 student (this number may be more than the total because one student can be in 2 clubs)
Club a = 13
Club b = 20
13 + 20 = 27x
Total members of clubs - total number of students = 27x - 25 = 2
2 students are in both clubs
Hope this was useful to you!
