Question

I Need Help . please

Answer 1

x = 14

Explanation:

See the diagram of the triangle attached.

We have Δ RST where, ∠ RST = 7x -54 and ∠ SRT = ∠ STR {Since, given that, RS = ST}

Now, if ∠ STU = 8x, then ∠ STR = 180 - 8x {Since, ∠ STU and ∠ STR are supplementary}

So, ∠ SRT = ∠ STR = 180 - 8x

Now, from Δ SRT, ∠ RST + ∠ SRT + ∠ STR = 180

⇒ 7x - 54 + 180 - 8x + 180 - 8x = 180

⇒ 9x = 126

⇒ x = 14 (Answer)