Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Need to know the following angle

Need To Know The Following Angle class=

Sagot :

Given:

[tex]m\angle A=(2x-15)^\circ[/tex]

[tex]m\angle B=(x-5)^\circ[/tex]

[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]

To find:

The [tex]m\angle ABC[/tex].

Solution:

In triangle ABC,

[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex]          [Exterior angle theorem]

[tex]148=(2x-15)+(x-5)[/tex]

[tex]148=3x-20[/tex]

[tex]148+20=3x[/tex]

[tex]168=3x[/tex]

Divide both sides by 3.

[tex]\dfrac{168}{3}=x[/tex]

[tex]56=x[/tex]

Now,

[tex]m\angle ABC=(x-5)^\circ[/tex]

[tex]m\angle ABC=(56-5)^\circ[/tex]

[tex]m\angle ABC=51^\circ[/tex]

Therefore, [tex]m\angle ABC=51^\circ[/tex].

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.