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Sagot :
Answer:
C angle H = 75.4
Step-by-step explanation:
In order to find the measure of angle H we must first find the value of x
Firstly it's good to know that the sum of the angles in a quadrilateral always add up to 360 degrees
Knowing this we can create an equation.
Since the angle measures must add up to 360 degrees we know that angle F + angle E + angle H + angle G = 360
Plugging in the given expressions for each angle we acquire
14x - 11 + 5x + 21 + 6x + 16 + 8x - 7
We can now solve for x
==> combine like terms
33x + 19 = 360
==> subtract 19 from both sides
33x = 341
==> divide both sides by 33
x = 10 1/3
Now that we have identified the value of x and we can plug in x = 10 1/3 into the given expression of angle H and evaluate to get the measure
Angle H = 8x - 7
==> plug in x = 10 1/3
Angle H = 8(10 1/3) - 7
==> multiply 8 and 10 1/3
Angle H = 82.7 - 7
==> subtract 7 from 82.7
Angle H = 75.6
C is the closest answer
Answer:
C. m∠H = 75.4°
Step-by-step explanation:
all sides of a quadrilateral add up to 360°
So, (5x + 21) + (14 - 11) + (6x + 16) + (8x - 7) = 360
Add like terms:
33x + 19 = 360
33x = 360 - 19
33x = 341
x = 341/33
x = 10.33...
Substitute:
∠H = 8x - 7
∠H = 8(10.3) - 7
∠H = 75.4°
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