# Triangle ABC is congruent to triangle XYZ. Angle A measures 50 degrees angle B measure 2 x plus 40 degrees and angle Z measures 4 x plus 8 degrees Find the value of x.

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### 1 Answer

In triangle ABC , angle A measures 50 degrees, angle B measure (2 x+40) degrees and angle Z measures (4 x +8) degrees.Since triangle ABC congruent to triangle XYZ . Therefore angle C will equal to angle Z . So

angle Z=angle C= 4x+8

By angle sum property of triangle.

`/_A+/_B+/_C=180^0`

50+(2x+40)+(4x+8)=180

6x+98=180

6x=180-98

6x=82

x=82/6

Thus answer is `x=(82/6)^0=(41/3)^0`