Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Find all possible values of x for which these two triangles are similar. 1 x + 10° 2x - 50° o TAT The only possible values of x are 4 and

Sagot :

we know that

If two triangles are similar, then their corresponding angles are congruent

In this problem

we have that

First case

angle x and angle 60 are corresponding angles

angle (x+10) and angle (2x-50) are corresponding angles

so

x=60

x+10=2x-50

2x-x=10+50

x=60

is ok

Second case

angle (x+10) and angle 60 are corresponding angles

angle x and angle (2x-50) are corresponding angles

so

x+10=60

x=50

x=2x-50

2x-x=50

x=50

therefore

the possibles values of x are 50 degrees and 60 degrees

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.