Please solve with working much appreciated

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

x°= 55°

Step-by-step explanation:

First, find the degrees of the larger triangle.

Since every triangle equals 180° degrees, make an equation.

60°+90°+a°= 180°

Now, add the degrees together.

120°+a°= 180°

Then subtract from both sides.

120°+a°= 180°

-120 ° -120°

a°= 60°

Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).

60°-25°= 35°

Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.

35°+90°+x°= 180°

Then, add the degrees.

125°+x°= 180°

Subtract from both sides of the equation to get the answer for the variable.

125°+x°= 180°

-125° -125°

x°= 55°

You might be interested in

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32

zavuch27 [327]

$Hypotenuse =39cm$ of right angle triangle! .

Step-by-step explanation:

Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the length of the hypotenuse is 7.5 centimeters. We need to find:

We have , One length as 32 cm and other as 25 cm , as

$Perpendicular = 32cm\\Base=25cm$