**In the figure shown below, SUVX is a square. STU is an equilateral triangle and TXW is a straight line.a) Find the value of Angle STX.b) Find the value of Angle WVX.**

**Solution**

**a)**

Line TZ passes through V, while line TY is passes through the centre of Line SU.

Angle STX is 1/4 of Angle STU.

Angle STU is 60 degrees (Triangle STU is equilateral)

Angle STX --> (1/4) x 60 degrees = 15 degrees

**Answer: 15 degrees**

**b)**

Angle SXT = 15 degrees (Triangle STX is isosceles)

Angle TXV --> (90 - 15) degrees = 75 degrees

Angle WXV --> (180 - 75) degrees = 105 degrees

Angle WVX

--> (180 - 105) degrees divided by 2 = 37.5 degrees

(Triangle WVX is isosceles)

**Answer: 37.5 degrees**

## No comments:

Post a Comment