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antiseptic1488 [7]
3 years ago
7

In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?

Mathematics
2 answers:
larisa86 [58]3 years ago
5 0
The sum of the measures of the interior angles of a triangle is 180. We have measures of 57, 30, and 27. We need to find the missing angle.
180 - (30 + 27 + 57) = 66
Svet_ta [14]3 years ago
5 0

Answer:

∠A = 66°

Step-by-step explanation:

In the figure,

∠E = 30° , ∠F = 57°

In ΔEFD

Angle sum property: Sum of all three angles of a triangle is 180°

∠E + ∠F + ∠D = 180°     (Angle sum property of a triangle)

30° + 57° + ∠D = 180°

                  ∠D = 180° - 30° - 57°

                  ∠D = 93°

In ΔABC

Exterior angle property: Sum of two opposite interior angle of a triangle is equal to exterior angle.

∠A + ∠B = ∠D        (Exterior angle property of a triangle)

∠A + 27° = 93°

        ∠A = 93° - 27°

        ∠A = 66°

Hence, The measure of angle A is 66°

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Please answer this for me. i have no idea :( please please please, i am desperate.
marysya [2.9K]
<h3>Answer: B) 60</h3>

================================================

Explanation:

Whenever the angle theta is between 0 and 90, the reference angle is exactly that value.

It's only when you get to other quadrants is when things get a bit tricky. Right now we're in quadrant 1, often written as Q1.

-------------------

Extra info:

  • If theta is between 90 and 180, then the reference angle is 180-theta. This region is Q2
  • If theta is in quadrant 3, between 180 and 270, then the reference angle is theta-180. The order of subtraction is important since x-y is the not the same as y-x.
  • Lastly, if theta is between 270 and 360 (in Q4), then the reference angle is 360-theta.
  • As you can see, we have four quadrants starting with Q1 in the upper right corner. Then we move counterclockwise to get Q2,Q3 and Q4.
7 0
3 years ago
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What property is being shown? <br><br> 5x^3 * 1 = 5x^3
maw [93]

Let's call that the Multiplicative Identity Property.

1 is the identity element for multiplication.  Those are just fancy words for the obvious property that anything times 1 is itself.


4 0
3 years ago
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N76 [4]

Answer:

4 photos on each page

Step-by-step explanation:

96 divided by 24 = 4

3 0
3 years ago
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What is 3(2x-4)=6(x-2)<br> with solving steps?
dedylja [7]

Answer:

true for all x

Step-by-step explanation:

3(2x-4)=6(x-2)

Distribute

6x - 12 = 6x -12

Subtract 6x from each side

6x-12 -6x = 6x-12-6x

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Since this is always true, there are infinite solutions

4 0
4 years ago
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A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

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But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

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3 years ago
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