494,673 views
42 votes
42 votes
A carpenter's square is used on the circular part of a blueprint. SQ = UQ.What is the measure of SQ?60°90°SU45°180°180°

A carpenter's square is used on the circular part of a blueprint. SQ = UQ.What is-example-1
User Faheem Mitha
by
3.0k points

1 Answer

15 votes
15 votes

Step 1: Observe the given figure state the obvious angles


\text{SQU}=90^0(\text{angle in a semicircle)}
SQ\cong QU(given)
\begin{gathered} \text{If SQ}\cong QU,\text{ then }\Delta SQU\text{ is an isosceles triangle} \\ \text{Hence, the base angles are equal} \end{gathered}
i\mathrm{}e\text{. QSU}=\text{QUS}
\begin{gathered} \text{QSU}+\text{QUS}=90^0(\text{Complimentary angles)} \\ 2\text{QUS}=90^0 \\ \text{QUS}=(90^0)/(2) \end{gathered}
\text{QUS}=45^0

Hence, arc QS=45°

User Ganqqwerty
by
2.7k points