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ollegr [7]
3 years ago
14

HEY GUYS PLS HELP ME WITH THIS GEOMETRY QUESTION

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

m∠E = 90°

m∠F = 47°

m∠G = 43°

Step-by-step explanation:

We are given 3 angles: a 90 degree angle, and 2 unknowns. We know that all angles in a triangle add up to 180 degrees. So,

Step 1: Write out the angles equation

90 + 5x - 13 + 2x + 19 = 180

Step 2: Combine like terms

96 + 7x = 180

Step 3: Isolate the x

7x = 84

Step 4: Divide both sides by 7

<em>x = 12</em>

We take this <em>x = 12 </em>and we plug it into our original unknown angles. Thus,

Step 1: ∠F

5(12) - 13

m∠F = 47°

Step 2: ∠G

2(12) + 19

m∠G = 43°

And you have your final answers!

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