MAP-ABOR. In MAPP=33 and in BOR 3042. Find the measure of M
Accepted Solution
A:
Answer:The measure of angle M is [tex]\angle M=105[/tex]°.Step-by-step explanation:Given:The triangles ΔMAP and ΔBOR are similar triangles.[tex]\angle P=33[/tex]°, [tex]\angle O=42[/tex]°If two triangles are similar, then their corresponding angles are also congruent.ΔMAP is similar to ΔBOR,[tex]\angle A\cong \angle O\\\because \angle O=42\\\therefore \angle A=42[/tex]Now, for triangle ΔMAP, sum of all of its interior angles is 180 degrees.Therefore,[tex]\angle M+\angle A+\angle P=180\\\angle M+42+33=180\\\angle M+75=180\\\angle M=180-75\\\angle M=105[/tex]Therefore, the measure of angle M is [tex]\angle M=105[/tex]°.