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1. Alex thinks 131 are neat. What is the maximum number of interior angles of a convex n-gon that can have measure 131?

 

 

2. ABCDEF is a concave hexagon with exactly one interior angle greater than  (The diagram of ABCDEF below is not drawn to scale.) Noah measured the marked angles, getting 80, 85, 95, 105, 120, and 125 What interior angle measure of the hexagon, in degrees, is missing from Noah's list?

 

here's the latxex
[asy]
size( 200 ) ;
pair A = (0,0) ;
pair B = A+3dir(0) ;
pair C = B+4dir(50) ;
pair D = C+2dir(100) ;
pair ptE = D+3dir(225) ;
pair F = ptE+5dir(140) ;
draw( A--B--C--D--ptE--F--cycle ) ; 
draw( anglemark( C,B,A, 10 ) ) ;
draw( anglemark( D,C,B, 10 ) ) ;
draw( anglemark( ptE,D,C, 10 ) ) ;
draw( anglemark( D,ptE,F, 10 ) ) ;
draw( anglemark( A,F,ptE, 10 ) ) ;
draw( anglemark( B,A,F, 10 ) ) ;
[/asy]

 

3. In concave equilateral pentagon ABCDE, angle A=angle B= 90 What is the degree measure of E?

 Feb 7, 2018
edited by asdfasdfasdf  Feb 7, 2018
 #1
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1. The maximum is 128.

 

2. The missing angle is 75 degrees.

 

3. E is 45 degrees.

 Jan 18, 2020

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