Suppose △abc≅△def, m∠b=76° , and m∠d=59° . what is m∠f? a. 104º b. 76º c. 59º d. 45º

d. 45º

Step-by-step explanation:

Given : ΔABC≅ ΔDEF

⇒ Corresponding angles of ΔABC and  ΔDEF are congruent. ( corresponding parts of congruent triangles are congruent.)

Also, the congruent angles has the same measure.

⇒m∠A=m∠D=59°

m∠B=m∠E=76°

m∠C=m∠F

Now in ΔDEF , we have

m∠D+m∠E+m∠F=180°           [By Angle sum property of triangle]

⇒59°+76°+m∠F=180°              [Substitute values of m∠D and m∠E]

⇒135°+m∠F=180°        

⇒m∠F=180°-135°

⇒m∠F=45°

Hence, d is the correct answer.

a² + b²= c²

24² + 7² = c²

c= 25

answer: 1 and 3

step-by-step explanation: