Question

In the triangle below , RT=ST, find the measure of

Answer 1

In the given ∆RTS, it has been mentioned that RT = ST
As both the sides of the traingle are equal to each other we can safely conclude that the above triangle is an isosceles triangle.
Isosceles triangle is a traingle with two equal sides and the opposite side angle are equal to each other.
Therefore angle R = angle S
Now, let us take angle TRS and angle TSR as 'x'
According to the question, angle RTS = 110°
Thus,
Angle RTS + angle TRS + angle TSR = 180° (all sides of the traingle are equal to 180°)
110° + x + x = 180°
2x = 180° - 110°
x = 70°/ 2
x = 35°

Therefore, angle TRS = 35°

Answer 2

Given the triangle RST

As shown:

m∠T = 110

And RT = ST

So, it is an isosceles triangle

so, m∠R = m∠S = x

The sum of the angles of the triangle = 180

So,

`\begin{gathered} m\angle R+m\angle S+m\angle T=180 \\ x+x+110=180 \\ 2x=180-110 \\ 2x=70 \\ x=35 \end{gathered}`

So, the answer will be:

m∠TRS = 35°