Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X?

1 answer:

4 0

The isosceles triangle has two sides congruent which mean they are equal. If two sides are equal, it also means that two angles are equal.

For triangle XYZ, we have angles shown below:
∠X + ∠Y + ∠Z = 180°

If ∠Y = a°, then we can have the expression for ∠X such as shown below:
∠X + a° + ∠Z =180°
∠X= 180° - a° - ∠Z

If ∠Z = ∠Y, then we have the final expression:
∠X = 180° -2a°

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Help <br> A)38<br> B)62<br> C)80<br> D)100

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

∠5 +∠6 +∠7 = 180 {straight line angle}

38 + 62 + ∠7 = 180

100 +∠7 = 180

∠7 = 180 - 100

∠7 = 80°

l // m

∠3 = ∠7 {Alternate interior angles are congruent}

∠3 = 80°.

5 0

3 years ago

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Graph the image of △UVW after a reflection over the line y=-x

aliya0001 [1]

Answer:

9514 1404 393

see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is. Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection: (x, y) ⇒ (-2-x, y) U(-8, -6) ⇒ U'(6, -6) V(-3, -6) ⇒ V'(1, -6) W(-4, -1) ⇒ W'(2, -1)