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In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of angle XZY?

Respuesta :

cryssatemp

Answer: 55 degrees

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles [tex]\theta[/tex], [tex]\alpha[/tex] and [tex]\beta[/tex]:

[tex]\theta+\alpha+\beta=180\º[/tex]

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

[tex]XYZ+YXZ+XZY=180\º[/tex]

[tex]50\º+75\º+XZY=180\º[/tex]

[tex]XZY=180\º-50\º-75\º[/tex]

Finally:

[tex]XZY=55\º[/tex]

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