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Answers
Step-by-step explanation:
C+39+90=180 (triangle abc and becaus of a rectangle angle at b is 90)
C=180-39-90
C=51
In triangle EDC because of transversal angle at c will be 51
So
D+78+51=180 angle sum in a triangle
D=51.
Part A
B+54+90=180 (angle sum in triangle abc and a rectangle)
B=36
a=b=36 because of transversal (alternate interior angles AB parallel to DC)
Step-by-step explanation:
1)a°=46°
every angle of rectangle is 90°
angle C=90°
90°=a°+54°
90-54=a°
46°=a°
2)b°= angle A=
as you can see there is a triangle which is triangle CAB
every triangle is 180°
triangle CAB=angle C+angleA+angleB
180°=54°+90°+angle b
180°=134°+angle b
180°-134°=+angle b
46°=angle b
note=I didn't take full angle A i just take that angle which was included in triangle
in second diagram
3)angle c°
every angle of rectangle is 90°
in right angle ∆ CEB
angle C=39°,angleB=90°
180°=39°+90°+anglec°
180°=129°+angle c°
180°-129°=angle c°
51°=angle c°
4)d°=
angleC=90°
90°=angle X+39°...they didn't give the name so let's just take anglex
90°-39°= angle X
X=51°
in triangle CED
Every triangle is 180°
triangle CED=180°
180°=d°+78°+51°
180°-129=d°
51°=d°