I just did this quiz and got a 100% the answer is A) <span>Putting a small amount of money aside each month to use to purchase Christmas gifts.
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Answer:
4000
Step-by-step explanation:
Answer:
∠1 is 90° because it is a right angle
To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;
x + 90 + 30 = 180
x + 120 = 180
-120 -120
x = 60, ∠2 = 60°
Angle 5 is vertical to angle 1 which equals 90 degrees, and <u>vertical angles are congruent</u> meaning that they measure the same degrees so therefore ∠5 = 90°
Angles 4 and 40° are <u>vertical</u> to angle 2 which measures 60 degrees;
40 + x(where x equals angle 4) = 60
-40 -40
x = 20, ∠4 = 20°
Specified earlier, angles <u>40° and 4 are equal to 60°</u>, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.
So we set up the equation;
40 + 20(angle four) + x = 90
60 + x = 90
-60 -60
x = 30, ∠3 = 30°
Answer:
1 = 130° , 2 =50° , 3 = 85°, 4=45°
Step-by-step explanation:
1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}
2 = 180 - 1 { angles on a straight line equals 180}
= 180 -130 = 50°
4 = 180 - 135 = 45° { angles on a straight line equals 180}
3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}
3 = 135-50 = 85°
Note : sum of opposite interior angles equals external exterior angle, let's prove it:
If we look at the triangle at the bottom left, we have :
85, 45 and r { let's denote r as the missing angle}
So 85 + 45 + r = 180° { sum of angles of a triangle}
By simple arithmetic
r = 180 - ( 85+45) = 180 - 130 = 50°
but r + 4 = 180° { sum of angles in a straight line equals 180°}
4 = 180 - 50 = 130°
So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}
Answer:
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