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Delvig [45]
3 years ago
11

How to do this question plz answer my question step by step plzz plz plz plz ​

Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

x + 55

x + 65

x + 120

The sum of all angles in a quadrilateral = 360°.

Therefore, (x + 55) + (x + 65) + (x + 120) = 360

Solve for x

x + 55 + x + 65 + x + 120 = 360

3x + 240 = 360

3x + 240 - 240 = 360 - 240

3x = 120

\frac{3x}{3} = \frac{120}{3}

x = 40

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

x + 55 = 40 + 55 = 95

x + 65 = 40 + 65 = 105

x + 120 = 40 + 120 = 160

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