Respuesta :

90 degrees

Angle DAB and BAC are supplementary so 110 + 70 =180. (<BAC is 70)

Triangle ABC is 180 degrees so if you add 20 and 70 you get 90. The last angle, <ABC must be 90 degrees.

Answer:

[tex]m\angle ABC = 90^\circ[/tex]

Step-by-step explanation:

We are given the following information in the question:

[tex]\angle DAB = 110^\circ\\\angle ACB = 20^\circ[/tex]

We have to find the measure of [tex]\angle ABC[/tex]

By exterior angle sum property, we can write

[tex]m\angle DAB = m\angle ABC + m\angle ACB[/tex]

Putting the values, we get:

[tex]m\angle DAB = m\angle ABC + m\angle ACB\\110 =  m\angle ABC + 20\\m\angle ABC = 90^\circ[/tex]

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