Can you help me find the measure of each angle? Diagram attached

Answer:5x = 100°4x = 80°Step-by-step explanation:We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.So we can write it as:[tex]5x+4x=180[/tex][tex]9x=180[/tex][tex]x=\frac{180}{90}[/tex][tex]x=20[/tex]Finding the measure of both the angles:[tex]5x = 5(20) =[/tex] 100°[tex]4x = 4(20) =[/tex] 80°