radomes.openskiesproject.org
anneturtles
anneturtles anneturtles
  • 06-01-2017
  • Mathematics
Answered

In the diagram, what is the measures of angle 1?


A.) 45°


B.) 135°


C.) 15°


D.) 125°

In the diagram, what is the measures of angle 1? A.) 45 B.) 135 C.) 15 D.) 125 class=

Verified Answer :

DelcieRiveria DelcieRiveria
  • 26-03-2019

Answer:

The correct option is A.

Step-by-step explanation:

Line A and B are parallel lines.

\(\angle 1=3x\)             ....(1)           (Alternate exterior angles)

\(\angle 1+9x=180\)            (Supplementary angles)

\(3x+9x=180\)

\(12x=180\)

\(x=15\)

The value of x is 15.

Put this value in equation (1).

\(\angle 1=3\times 15=45\)

Therefore measures of angle 1 is 45° and option A is correct.

Answer Link

Related Questions

What is the answer to this problem evaluate the expression 7532432
In the mid to late 1800s the US government granted land to railroad companies to expand their networks What is another way that railroad companies used the land
37 of the coins in a box are nickels The rest are pennies If there are 48 pennies how many coins are there altogether
What is the reaction enthalpy for the decomposition of sodium bicarbonate to form sodium carbonate carbon dioxide and water vapor
ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER Marisol is preparing a care package to send to her brother The package will include a board game that weighs 4 lb and
Keisha has 2008 in her purse She buys a book for 872 How much does she have left
This was the last imperial dynasty in Chinese history A Qin B Qing C Ming D Han
5t6c48t9c
Find the least common multiples of 6 12 and 15
At what point does the ISP hand over responsibility to the customer a Patch panel b MDF c IDF d Demarc