Question

HEY GUYS PLS HELP ME WITH THIS GEOMETRY QUESTION

Answer 1

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

x = 12

We take this x = 12 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!