Answer:
x = 55, y = 70, z = 125
Step-by-step explanation:
125 and x are adjacent angles and are supplementary, then
x = 180 - 125 = 55
The triangle is isosceles ( 2 congruent sides ) thus the base angles are congruent, both 55
The sum of the 3 angles in the triangle = 180° , thus
y = 180 - (55 + 55) = 180 - 110 = 70
55 and z are adjacent and supplementary, so
z = 180 - 55 = 125
Answers:
x = 55
y = 70
z = 125
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Explanation:
The tick marks indicate those two lines are the same length. We have an isosceles triangle. One base angle is x. The other missing base angle is also x, which is adjacent to angle z. The base angles of any isosceles triangle are always congruent.
Since the 125 and x degree angle form a straight line, they must add to 180
x+125 = 180
x = 180-125
x = 55
We can use this to find y
x+x+y = 180 .... three angles of any triangle always add to 180
2x+y = 180
2(55)+y = 180 .... plug in x = 55
110+y = 180
y = 180-110
y = 70
And,
x+z = 180
55+z = 180 ... plug in x = 55
z = 180-55
z = 125
