Question

Triangle ABC is isosceles with AC = BC and angle ACB = 106°. Point M is in the interior of the triangle so that angle MAC = 7º and angleMCA= 23°. Find the number of degrees in angleCMB.​

Answer 1

Answer:

angle CMB = 14°

Step-by-step explanation:

triangle CMB:

SIDES: c= 10 , b= 2.437387 , m= 10,

angles: C= 83°, M= 14°, B= 83°

triangle ACB:

SIDES: a= 10 , c= 15.97271 , b= 10,

angles: A= 37°, C= 106°, B= 37°

triangle AMB:

SIDES: a= 10 , m= 15.97271 , b= 7.814622,

angles: A= 30°, Q= 127°, R= 23°

triangle AMC:

SIDES: a= 2.437387 , m= 10 , c= 7.814622,

angles: P= 7°, Q= 150°, R= 23°