# Triangle xyz is isosceles. angle y measures a*. what expression represents the measure of angle x?

Triangle xyz is isosceles. angle y measures a*. what expression represents the measure of angle x?

In an isosceles triangle the sides XY &  YZ are equal, as well as the angles oppose to those sides:

∠ X = ∠ Z  and ∠ Y = a° (given)

We know that ∠X + ∠ Z + ∠ Y =180°, Since ∠ X = ∠ Z, then:

2(X) + a° =180°, X = a°/2 +90°

2(X) + a° =180°, X = a°/2 +90°

Step-by-step explanation:

In an isosceles triangle the sides XY &  YZ are equal, as well as the angles oppose to those sides:

∠ X = ∠ Z  and ∠ Y = a° (given)

We know that ∠X + ∠ Z + ∠ Y =180°, Since ∠ X = ∠ Z, then:

2(X) + a° =180°, X = a°/2 +90°

Answer is A C and D i got the answers right on mine

Step-by-step explanation:

D.

Step-by-step explanation:

We are told that triangle XYZ is an isosceles triangle and measure f angle Y is a degrees. We are supposed to write an

Since we know that an isosceles triangle has two equal sides and two equal angles.

By the angle sum property we can set an equation for the angle of our given triangle as:

As measure of Y and Z is equal, so we will get,

Therefore, the measure of angle X will be degrees and option D is the correct choice.

first one

Step-by-step explanation:

It is D 180-2a for sure. 🙂

Step-by-step explanation:

The measure of angle F = (2 x + 6)°

Step-by-step explanation:

Given figure shown the measure of each angles :

∠E = ( x + 30)°

∠D = x°

It is given that ∠F = ( ∠E + ∠D ) - 24

Or,  ∠F = ( x + 30)° + x° - 24

Or, ∠F = (2 x + 30)° - 24

∴, ∠F = ( 2 x  + 6)°      Answer

The measure of ∠F = (2 x + 6°)

Step-by-step explanation:

Here in ΔDEF,  given:

(∠D +   ∠E)  - 24°  =  ∠F

Hence,  the value of ∠F =  (∠D +   ∠E ) -  24°

Now, ∠D = x , ∠E = x + 30°

Substituting these values in the above equation,

⇒∠F  = x +  (x + 30°)   -  24°

=  2x + 6°

or  , ∠F  =  2x + 6°

Hence, the measure of ∠F = (2x + 6°)

An isosceles triangle has two sides equal and two angles equal. It is given in the problem that ∠Y is equal to a². We can solve for the remaining angles and the solution is shown below:
180°=∠X+∠Y+∠Z
180°=∠X+a° +∠Z
180°-a°-∠Z=∠X
If ∠Z is the same with ∠Y, then ∠X is equal to 180°-2a°.

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