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!
