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2 years ago

What is the measure of EDH? E H F 0 [(5x)/ (4x) D G

Mathematics

2 answers:

frosja888 [35]2 years ago

8 0

Answer: " 50 " .

_____________

→ " m∡EDH = 50 ° " .

_____________

Step-by-step explanation:

Note that "5x" and "4x" add up to "90 degrees" ; these are "complementary angles" —meaning that their measurements add up to "90 degrees"—in this case, they form a "right angle" (which is a "90 degree angle".).

_____________

So: " 5x + 4x = 90 " ; Solve for "5x" ;

which is the: " measure of angle EDH " ;

[i.e. " m∡EDH "] ;

→ 5x + 4x = 9x ;

_____________

→ 9x = 90 ;

Divide each side of the equation by "9" ;

to isolate "x" on one side of the equation;

& to solve for "x" ;

→ 9x / 9 = 90 / 9 ;

to get:

→ x = 10 ;

_____________

Let's check our answer:

9x =? 90 ? ;

→ 9 * 10 =? 90 ? Yes!

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Let us further check our answer:

_____________

"4x + 5x = 90 " ;

→ (4*10) + (5*10) =? 90 ? ;

→ 40 + 50 = ? 90 ? ; Yes!

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Now, since we know that: " x = 10 " ;

we can solve for "5x" ; which is the: " m∡EDH " ;

→ m∡EDH = " 5x " = " 5* (10) = 50 ° " .

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Hope this is helpful!

Best of luck to you!

_____________

Pani-rosa [81]2 years ago

5 0

5x + 4x = 90 degrees
9x = 90
x = 10

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