Answer:
C
Step-by-step explanation:
Since GJ bisects ∠ FGH , then ∠ FGJ = ∠ JGH = x + 14
∠ FGH = ∠ FGJ + ∠ JGH , substitute values
4x + 16 = x + 14 + x + 14 = 2x + 28 ( subtract 2x from both sides )
2x + 16 = 28 ( subtract 16 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Thus
∠ FGJ = x + 14 = 6 + 14 = 20° → C
7(y+2)=3
seven times the sum of a number (y) and 2
means y+2 multiplying by 7
Answer:
actually no triangle exists with the given angle measure. more than ONE unique triangle exists with the given angle measures. exactly one unique triangle exists with the given angle measures
Given that < 1 and < 3 are corresponding angles with the same measure, and that < 1 and m < 38 ° are supplementary angles in which their measures add up to 180°:
Then:
m< 1 + m < 38° = 180°
m < 1 = 180° — m < 38°
m < 1 = 142°
Since m < 1 = m < 3, then m < 3 = 142°