Question

13 multiple choice 1 point
what is the value of x in this figure?
26
36
45
16
14 multiple choice 1 point
according to the markings, this triangle is _.
equilateral
obtuse
scalene
isosceles

Explanation:

Question 13

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). In a right - angled triangle (one angle is \(90^{\circ}\)), if one of the non - right angles is \(45^{\circ}\), and the other is \(x\). Then \(90 + 45+x=180\).

Step2: Solve the equation for \(x\)

Simplify the left - hand side of the equation: \(135 + x=180\). Subtract \(135\) from both sides: \(x=180 - 135\).

An isosceles triangle has at least two sides equal. The markings on the triangle show that two sides are equal. An equilateral triangle has all three sides equal (no indication of that here). An obtuse triangle has one angle greater than \(90^{\circ}\) (no angle information given). A scalene triangle has all sides of different lengths.

Answer:

\(45\)

Question 14