Ratio of three angles of a triangle is 1 : 2 : 3. Find the angles.
2 answers:
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Answer:
<2 + <3 =
Thus, angles 2 and 3 are complementary.
Step-by-step explanation:
Complementary angles are two or more angles that their sum equals . Given that: i. <1 and <2 are complementary
ii. <1 ≅ <3
iii. <2 ≅ <4
Prove that: <2 and <3 are complementary
Proof:
<1 + <2 = (complementary angles)
<1 ≅ <3 (congruent property)
<2 ≅ <4 (congruent property)
⇒ <3 + <4 = (complementary angles by congruent property)
Since <1 ≅ <3,
∴ <2 + <3 =
Thus, angles 2 and 3 are complementary
Let the number of hours she spent in baby- sitting is x
and the number of hours she spent in music lessons is y.
Now, we have been given that she worked a total of 18 hours. Hence, we have
And she made $139. Thus, we have
Substituting the value of y from equation 1 in 2, we get
Therefore, she spent 11 hours in baby-sitting.