1 Answer

Jonathan Barbero · Answer 1 · 2022-06-19T01:35:50+0000

Given:

Triangle EFG and EHG are two right triangles.

$m\angle HEG=35^\circ$

$m\angle FGE=30^\circ$

To find:

The values of x and y.

Solution:

In triangle EFG,

$m\angle EFG+m\angle FGE+m\angle FEG=180^\circ$ [Angle sum property]

$90^\circ+30^\circ+(x+35)^\circ=180^\circ$

$(x+155)^\circ=180^\circ$

x+155=180

x=180-155

x=25

In triangle EHG,

$m\angle EHG+m\angle HEG+m\angle EGH=180^\circ$ [Angle sum property]

$90^\circ+35^\circ+(y+30)^\circ=180^\circ$

$(y+155)^\circ=180^\circ$

y+155=180

y=180-155

y=25

Therefore, the value of x is 25 and the value of y is also 25.

Please log in or register to add a comment.