An angle measures 66° more than the measure of its complementary angle what is the measure of each angle
1 answer:
Answer:
The measures of the two angles are 12° and 78°
Step-by-step explanation:
Let us explain what is the complementary angles
<em>Two angles are complementary if the sum of their measures is 90°</em>
<u>Example:</u>
If m∠x + m∠y = 90°, then
∠x and ∠y are complementary angles
Let us solve the question
Assume that the measure of one of the complementary angle is x°
∵ The measure of its complementary is 66° more than it
∴ The measure of its complementary = x + 66
∵ The sum of the measures of the complementary angles is 90°
∴ x + 66 + x = 90
→ Add the like terms in the left side
∴ 2x + 66 = 90
→ Subtract 66 from both sides
∴ 2x + 66 - 66 = 90 - 66
∴ 2x = 24
→ Divide both sides by 2
∴
∴ x = 12°
→ Substitute the value of x in the second angle to find x
∵ The measure of the other angle = 12 + 66
∴ The measure of the other angle = 78°
∴ The measures of the two angles are 12° and 78°
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Answer:
If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.
Step-by-step explanation:
From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:
(1)
If we know that ,
and
, then the value of
is:
Then, we check the angles of each section:
Section 1
Section 2
If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.