Given that $AOB$ and $COD$ are straight lines, find the value(s) of the unknown(s) in the f

Question

Given that $AOB$ and $COD$ are straight lines, find the value(s) of the unknown(s) in the following figures, stating your reasons clearly. The figure shows two intersecting straight lines forming two triangles, $\triangle AOC$ and $\triangle BOD$. In $\triangle AOC$, $\angle ACO = 62^\circ$ and $\angle AOC$ is adjacent to an exterior angle of $143^\circ$. In $\triangle BOD$, $\angle BDO = 105^\circ$. Find the values of $x$ and $y$. The figure shows two intersecting lines $AOB$ and $COD$. $\triangle AOD$ has an interior angle $\angle OAD = 28^\circ$ and an exterior angle of $y^\circ$ at $D$. $\triangle COB$ is an isosceles triangle where $CO = OB$, with $\angle OCB = x^\circ$. The angle $\angle DOB$ is given as $78^\circ$. Find the values of $x$ and $y$.

Accepted Answer

(a) $x=38^\circ$, $y=81^\circ$ (b) $x=39^\circ$, $y=130^\circ$

Triangles

Triangles

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