Question

voici un triangle abc de base ab et de hauteur ch dans lequel langle a mesure 62° et langle abc mesure 54°. quelle est la mesure de langle cbd? ? °

Explanation:

Step1: Recall linear - angle property

An angle and its adjacent supplementary angle sum to 180°. Angle $\angle ABC$ and $\angle CBD$ are adjacent supplementary angles.

Step2: Calculate $\angle CBD$

Let $\angle ABC = 54^{\circ}$. Since $\angle ABC+\angle CBD = 180^{\circ}$, then $\angle CBD=180^{\circ}-\angle ABC$. Substitute $\angle ABC = 54^{\circ}$ into the formula: $\angle CBD = 180 - 54=126^{\circ}$.

Answer:

$126$