Question

please step by step explain ​

Answer 1

Step-by-step explanation:

Step-by-step explanation:here we have 4 triangles

Step-by-step explanation:here we have 4 triangles those are ∆DAB ∆BAM ∆MAN. ∆NAC

Step-by-step explanation:here we have 4 triangles those are ∆DAB ∆BAM ∆MAN. ∆NACwe already know that sum of the triangle is 180°

Step-by-step explanation:here we have 4 triangles those are ∆DAB ∆BAM ∆MAN. ∆NACwe already know that sum of the triangle is 180°so,. here in the triangle DAC

Step-by-step explanation:here we have 4 triangles those are ∆DAB ∆BAM ∆MAN. ∆NACwe already know that sum of the triangle is 180°so,. here in the triangle DAC one angle is 30°+angle 1 +x

Step-by-step explanation:here we have 4 triangles those are ∆DAB ∆BAM ∆MAN. ∆NACwe already know that sum of the triangle is 180°so,. here in the triangle DAC one angle is 30°+angle 1 +x we already know that x+65°=180° (straight angle)

x+65°=1890°

x=180-65

x=115

so,in ∆DAB

30°+115°+angle1= 180

145+angle 1=180

angle 1=180-145

angle one =35

similarly in ∆BAM also take the unknown value as y

hear we know that y + 90° =180( straight angle)

y= 180 - 90

y=90°

in ∆BAM ( take the value of n as z)

65+90+angle 4=180

155+angle 4 =180

angle 4=180-155

angle 4=25

in ∆MAN

90°+20°+z =180

110+z=180

z=180-110

z=70

in ∆NAC

we know that value of n is 70°

so,70°+angle 2+40°=180

110+angle 2=180

angle 2=180-110

angle 2=70.

therefore,angle 1=35°

angle 2=70°

angle 4 =25°

for angle DAC

ADD ANGLE 1+ANGLE 4+20+ANGLE 2

35+25+20+70

=150

therefore,angle DAC=150°