Which of the following statements must be true about this diagram? check all that apply

Question

asked Jun 9, 2019 17.9k views

2 Answers

Vineet Bhatia · Answer 1 · 2019-06-10T03:09:23+0000

C,D,E

The degree measure of <4 equals the sum of the degree measures of <1 and <2.

m<4 is greater than m<1

m<4 is greater than m<2

Daniel Seichter · Answer 2 · 2019-06-14T15:53:24+0000

Answer:

$m \angle 4$ is greater than
$m \angle 2$

$m \angle 4$ is greater than
$m \angle 1$

Explanation:

From the diagram we can see that
$m \angle 4$ is an exterior angle and
$m \angle 1 , m \angle 2, m \angle 3$ are interior angles.

Also we know that exterior angle equals sum of the opposite interior angles, which can be shown as,

$m \angle 4 = m \angle 1 + m \angle 2$

Therefore,

$m \angle 4 > m \angle 1$

$m \angle 4 > m \angle 2$

So these are the correct statements.