According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

$\begin{gathered} 50-2x=110-42x \\ 42x-2x=110-50 \\ 40x=60 \\ x=\frac{60}{40} \\ x=\frac{3}{2} \end{gathered}$

x is 3/2. Replace this value in both expression to find the measure of each angle.

$\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}$

The measure of these angles is 47°

7 0

11 months ago

Geometry. Very basic.

AveGali [126]

Answer:

A)10.25 cm ; B)5 square cm

Step-by-step explanation:

Formula:

p=(a+b+c) [p= perimeter ; a,b , and c are the side lengths.]

∴The perimeter of the triangle =(4+2.75+3.5) cm

=10.25 cm

Formula:

A = 1/2 . b .h [A=area ; b= base ; h= height]

∴The area of the triangle = (1/2 . 4 . 2.5) square cm [b=4 ; h=2.5]

=5 square cm

6 0

2 years ago

What is a ratiocan someone give me more than one answer please for this question​

What is a ratiocan someone give me more than one answer please for this question