anastasia12401
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Help Me Find Answer Please Very Much Lost And Its A Testwill Give Brainiest Or We It Is class=

Sagot :

akposevictor

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.