In the diagram, mfli is 106°, mflg = (2x – 1)°, mglh = (x + 17)°, and mhli = (4x – 15)°.

what is the measure of the smallest angle in the diagram? 15°29°32°45°

Step

Find the value of x

we know that

m∠FLI=m∠FLG+m∠GLH+m∠HLI ---------> equation

In this problem we have

m∠FLI=°

m∠FLG=°

m∠GLH=°

m∠HLI=°

Substitute the values in the equation

Combine like terms

°

Step

Find the value of each angle

Substitute the value of x in each angle

m∠FLG=°

m∠GLH=°

m∠HLI=°

therefore

the answer is

The smallest angle in the diagram is

2 is the final ! : )