Help on this assignment please :(

Mathematics

1 answer:

topjm [15]3 years ago

7 0

Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

Check

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

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lyudmila [28]

Answer:

A = 70

Step-by-step explanation:

CB is equal to EZ and E equals 35, and E and C are the same, therefore, both E equals 35. Since there's 180 degrees in a triangle, and ABY equals 105, you have to subtract 180 - 105 to get the other angle. When you do that, you get that B equals 75. You have to add E and B (35 + 75), since that's in the same triangle as A. When you do that, you get 110. Subtract 180 - 110 to get A, which is 70.