Practicing Success
In the given circle with diameter AB, find the value of X. |
40° 20° 30° 50° |
40° |
\(\angle\)ABD = \(\angle\)ACD = \({30}^\circ\) (Angles in the same segment) In \(\Delta \)ADB, by angle sun property we have \(\angle\)BAD + \(\angle\)ADB + \(\angle\)ABD = \({180}^\circ\) But we know that angle in a semi circle is \({90}^\circ\) \(\angle\)ADB = \({90}^\circ\) So, x + \({90}^\circ\) + \({30}^\circ\) = \({180}^\circ\) x = \({180}^\circ\) - \({120}^\circ\) Therefore, x = \({60}^\circ\). |