Answer:
1 < x < 19
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We are given the measures y=10, z=9. The third side must satisfy:
10 - 9 < x < 10 + 9
1 < x < 19
Answer:
m<1 = 121°
m<2 = 59°
Step-by-step explanation:
If m<1 is the supplement of m<2 and the measure of each angle is given:
m<1=2x+65
m<2=3x-25
Find m<1:
When two angles are supplement of each other, there sum is equal to 180°
i.e m<1 + m<2 = 180°
Putting values and finding angle 1

So, we get x=28
Now finding m<1 by putting x=28

Now, finding m<2 by putting x=28

So, we get:
m<1 = 121°
m<2 = 59°
Answer:

Step-by-step explanation:



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