Answer:
Step-by-step exp
X+x+(x+10)=180
3x+10=180
3x=180-170
x=56.666666degrees.
Case 2
x+(x+10)+(x+10)=180
3x+20=180
3x=160
X=53.333333
i hope the answer is help ful
When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:
Given,
Two angles: X and [tex]\rm{X}+10[/tex]
As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.
There can be two possible outcomes:
Case 1. When the two equal angles are X
[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]
Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]
[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]
Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]
To know more about the angles of the isosceles triangle, refer to the link:
https://brainly.com/question/12105959
