2 years ago

Help 7. Given the figure, find the desired measurements

Mathematics

2 answers:

schepotkina [342]2 years ago

6 0

You got this!!! pay attention in class

EastWind [94]2 years ago

4 0

Answer:

m∠F = 66°

m∠D = 57°

Step-by-step explanation:

It looks like you have ...

∠D = ∠E = (4x +1)°

∠F = (5x -4)°

The sum of the angles in the triangle is 180°, so we have ...

2(4x +1) +(5x -4) = 180

13x -2 = 180

x = 182/13 = 14

Then the angle measures are ...

∠D = ∠E = (4(14) +1)° = 57°

∠F = (5(14) -4)° = 66°

m∠F = 66°

m∠D = 57°

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