Question

Chapter name : Lines and Angles

say with explaining
Subject : Mathematics ​

Answer 1

Answer:

1. (A) 55°

because they both are parallel so, <1=<2 because vertically opposite angles

2. (B)18°

because complementary angles are angles with sum of 90°

so, 90-72=18°

3.(D)115°

because, supplementary angles are those with sum of 180°

so, 180-65=115°

4.(A)60°

x+2x=180° (linear pair)

x(1+2)=180°

3x=180°

x=180÷3

x=60°

have a great day ahead!

Answer 2

Answer:

1. 55 degrees
2. 18 degrees
3. 115 degrees
4. 60 degrees

Step-by-step explanation:

1. Angle 1 and Angle 2 are exterior alternate angles. They are equal. So the answer is 55 degrees.
2. Complementary angles are those angles that make a total of 90 degrees. Subtract 72 from 90. The answer is 18. So, 18 is the answer.
3. Supplementary angles are those angles that make a total of 180 degrees. Subtract 65 from 180. The answer is 115. So, the answer is 115 degrees.
4. Use straight-line property (of angles). 2x+x=180 degrees. Now, add 2x+x. That is equal to 3x. Now, 3x=180 degrees. Do not include "x" in "3x" during division. Now divide 180 by 3. The answer is 60. So, Angle x is equal to 60 degrees. So, the answer is 60 degrees.