Answer:
60° : 75° : 120° : 105°
Step-by-step explanation:
I like to work these by considering the relationship between a "ratio unit" and the angle it represents. Here, the sum of ratio units is 4+5+8+7 = 24. The sum of angles in a quadrilateral is 360°, so each ratio unit must stand for ...
360°/24 = 15°
Multiplying the ratio units by this value, we find the angles to be ...
(4 : 5 : 8 : 7) × 15° = 60° : 75° : 120° : 105°
Answer: Complementary angles are pair angles with the sum of 90 degrees
Step-by-step explanation: When talking about complimentary angles, always remember that the angles appear in pairs. One angle is the complement of the other angle.
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Circumference~(pi)(diameter)~28.26
Area~ (pi)(radius)squared~63.59
I believe these are right
Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary .
3. We have been also given that line segment BD bisects .
4. By the definition of bisect .
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate .
6.
Upon substituting in above equation we will get,
Therefore, by substitution property of equality .
Hence, proven that angle 1 is complementary to angle 3.