Question

The two horizontal lines shown in the above figure are parallel to each other. Which of the following does NOT equal ${180}^{\circ }$ ?

• A. ${(p+r)}^{\circ }$
• B. ${(p+t)}^{\circ }$
• C. ${(q+s)}^{\circ }$
• D. ${(r+s+t)}^{\circ }$
• E. ${(t+u)}^{\circ }$

Answer 1

The correct option is B ${(p+t)}^{\circ }$

$\angle P$ and $\angle r$ are opposite angles so $(p+r{)}^{\circ }={180}^{\circ }$

$\angle q$ and $\angle s$ are opposite angles so $(q+s{)}^{\circ }={180}^{\circ }$

$\angle r$,$\angle s$ and $\angle t$ vertical angle withe the three interior angle of a triangle so $(r+s+t{)}^{\circ }={180}^{\circ }$

$\angle t$ and $\angle u$ are supplementary so $(t+u{)}^{\circ }={180}^{\circ }$

Hence option B is answer.