26. Angle ABC = 22+14 = 36 degrees
27. x +117 = 180 (linear pair)
x = 180 - 117 = 63 degrees
Answer:
x = -16
Step-by-step explanation:
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.
Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
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x = 43°
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x + 8 = 43 + 8
x = 51°
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check
86 + 43 + 51 = 180°
the answer is good
