Answer:
22.5° and 67.5°
Step-by-step explanation:
The sum of complementary angles equal 90°.
Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.
Thus, the following expression can be written to represent this case:
Solve for x
Divide both sides by 4
The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°
Answer:
Step-by-step explanation:
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
Proof:
Statement Reason
m∠1 = 62° Given
m∠1 , m∠2 are supplementary t is a straight line hence linear pair.
m∠4 , m∠2 are supplementary r is a straight line hence linear pair.
Angle 2=180-62 = 118 Definition of supplementary angles
Angle 4 = 180-118 =62 -do-
Angle 1 = Angle 4 Equality property
Hence proved
The probability of getting two red lenses when two are selected will be 2/13.
<h3>What is probability?</h3>
The probability of favorable events to the total number of occurrences.
A box contains four red, three blue, and six green lenses.
Two lenses are randomly selected from the box.
Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be
The total number of the event will be
Total event = ¹³C₂
Total event = 78
Then the favorable event will be
Favorable event = ⁴C₁ x ³C₁
Favorable event = 4 x 3 = 12
Then we have
P = 12 / 78
P = 2/13
More about the probability link is given below.
brainly.com/question/795909
#SPJ1
Answer:<1=63.5
<2= 124 = 34+90
<3= 29.5 =59/2
<4= 90
<5= 54 108/2
<6=116.5
<7=121. 53+68
Step-by-step explanation:
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