Answer:
1. Because they are Vertically opposite
2. 2 lines that form a straight line and form 180 degrees when added are called a linear pair.
3. Because angle 1 and 2 is a linear pair and forms 180 degrees. The same goes for angles 2 and 3.
4. Because when they are a linear pair and together they form 180 degrees.
5. Angle 1 and 2, angles 2 and 3 are linear pairs. And linear pairs always form 180 degrees. So, they are both equal.
6. Because they are vertically opposite angles.
7. Because they are vertically opposite angles.
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We are given one angle that is 3 times less than others. Let us assume one angle measure is x degrees and another is 4x. Because x is 3x less than 4x. ( We can check 4x-x= 3x) Sum of complementary angles is 90 degrees. So, we can set up an equation, First angle measure + first angle = 90 degrees. x+4x = 90. Adding x and 4x, we get 5x. So, 5x = 90. Dividing both sides by 5, we get 5x/5 = 90. x= 18. So, one angle is 18 degrees. Another angle = 4x = 4 times 18 = 72 degrees. So, the required angles are of 18 degrees and 72 degrees.
Step-by-step explanation:
2x + 5x(5x-7) = 100
2x+ 25x-35x=100
2x -10x =100
-8x =100
x=2/25
