1 Answer

Jack Wotherspoon · Answer 1 · 2021-03-29T10:47:52+0000

Answer:

The value of x is 6.

Explanation:

Given:

∠TSQ = (5x + 3)°

∠RSQ = (10x - 27)°

SQ is the angle bisector of ∠ TSR

To Find:

x = ?

Solution:

Angle Bisector:

A line that splits an angle into two equal angles.

'Bisect' means to divide into two equal parts.

SQ is the angle bisector of ∠ TSR ....Given

∴
$\angle TSQ=\angle RSQ$

Substituting the values we get

$(5x+3)=(10x-27)\\\\10x-5x=27+3\\\\5x=30\\\\\therefore x=(30)/(5)=6\\\therefore x=6$

The value of x is 6.

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