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

∠ X = ∠ Z  and ∠ Y = a° (given)

10 Answers

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°... Show More
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°... Show More
Answer is A C and D i got the answers right on mineStep-by-step explanation:... Show More
D. Step-by-step explanation:Please find the attachment.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.... Show More
The answer is D.) 180-2aStep-by-step explanation:... Show More
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... Show More
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°)... Show More
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+∠Z180°=∠X+a° +∠Z180°-a°-∠Z=∠XIf ∠Z is the same with ∠Y, then ∠X is equal to 180°-2a°.... Show More

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