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Harrizon [31]
3 years ago
8

What is the measure of angle x?

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0
X = 180 - (90 + 47)
x = 180 - 137
x = 43

answer angle x = 43
11Alexandr11 [23.1K]3 years ago
6 0
The angle of x is equal to <em>43°</em><em />

As we know, any straight line would have an angle of 180°. Also, when we see the right angle symbol (the box in the top left quadrant of the graph), that means the angle is exactly 90°. We are also given an angle of 47°. We can now set up an equation with the numbers we have.

90° + 47° + x = 180°

This basically says that all three of the angles we listed make up that straight line which would equal 180°. Let's work this down to our answer:

137° + x = 180°.........................................Add 90° & 47°

x = 43°.....................................................Subtract 137° from both sides

I hope this helped!! Have an amazing day :))
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Step-by-step explanation:

We have given,

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In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

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56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

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