Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
∠R = 17°
∠Q = 100°
∠P = 63°
Step-by-step explanation:
In a triangle all the degrees added together should be 180°. Because we know this, we can add up every component and set it to 180 like this:
[tex]4x - 5 + 6x - 2 +x = 180[/tex]
After combining like terms we get:
[tex]11x - 7 = 180[/tex]
add 7 to both sides and then divide by 11 to get:
[tex]x = 17[/tex]
Now that we know x we know ∠R = 17°.
In order to find the rest we plug in 17 for x into their given formulas. For ∠Q:
[tex]6(17) - 2 = 100[/tex]
And for ∠P you can plug in to get the answer or do 180 - 100 - 17 (subtracting the other 2 angles):
180 - 100 - 17 = 63
or
[tex]4(17) - 5 = 63[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.