Answer:
x = 3
Question: Find the value of x.
Step-by-step explanation:
Given:
- Triangle R T S is sitting on a horizontal line
- Line S R extends through point Q to form exterior angle T R Q
- mā RTS is (25 x)Ā°, mā TSR is (57 + x)Ā° , mā TRQ is (45 x)Ā°
Lets find the value of x
ā TRQ is an exterior angle of Ī RTS at the vertex R
The opposite interior angles to vertex R are ā RTS and ā TSR
ā“ mā TRQ = mā RTS + mā TSR
mā TRQ = (45 x)Ā°
mā RTS = (25 x)Ā°
mā TSR = (57 + x)Ā°
Substitute these measures in the equation above
45 x = 25 x + 57 + x
45 x = 26 x + 57
19 x = 57
x = 3
