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lianna [129]
3 years ago
7

Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.

Mathematics
2 answers:
frutty [35]3 years ago
6 0

Answer:

a = 35     b = 25

Step-by-step explanation:

Triangles always add up to 180 degrees.  Knowing this we can first solve the triangle with the right angle.

55 + 90 + a = 180

Before we solve this, keep in mind that the reflective property will be used on angle a, giving the answer to the third angle in the second triangle.

145 + a = 180

-145        -145

a = 35

Now that we have a solved use the reflective property to get it on the second triangle.

120 + 35 + b = 180

155 + b = 180

-155        -155

b = 25

There you have your two angles.

Hope this helped you out.

soldier1979 [14.2K]3 years ago
3 0

For a.

Since there are already two angles given for the triangle, we can measure the last angle using this formula:

90 + 55 + a = 180

Now solve for "a".

90 + 55 + a = 180

145 + a = 180

a = 180 - 145

a = 35°

For b.

From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.

Now that we have two angles in the second triangle(35 and 120), we can use the same formula:

35 + 120 + b = 180

Now solve for "b":

35 + 120 + b = 180

155 + b = 180

b = 180 - 155

b = 25°

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